Acceso
Prima
Hogar Banco de preguntas Matemáticas Álgebra
Pregunta
upstudy study bank question image url

Simplify (give your answer with positive exponents) \( (5 a)^{3} \times 5 a^{2} \)

Ask by Guerrero Chambers. in South Africa
Feb 24,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

\( 625a^{5} \)

Solución

First, expand (5a)³:   (5a)³ = 5³ × a³ = 125a³ Now multiply by 5a²:   125a³ × 5a² = (125×5) × (a³×a²) = 625a^(3+2) = 625a⁵ Thus, the simplified expression is 625a⁵.

Respondido por UpStudy AI y revisado por un tutor profesional

error msg
Explicar
Simplifique esta solución

The Deep Dive

To simplify \( (5 a)^{3} \times 5 a^{2} \), first apply the power of a product rule to \( (5a)^{3} \): \[ (5 a)^{3} = 5^{3} \times a^{3} = 125 a^{3} \] Now, multiply this result by \( 5 a^{2} \): \[ 125 a^{3} \times 5 a^{2} = (125 \times 5) \times (a^{3} \times a^{2}) = 625 a^{5} \] So, the simplified expression is: \[ 625 a^{5} \]

preguntas relacionadas

\[ P(x)=x^{3}+2 x^{2}-6 x-4, \quad c=2 \] Evaluate \( D(x) \) for the given value of c, (Simplify your answers completely,) \[ \begin{aligned} P(2) & =(2)^{3}+2(\square)-6(2)-4 \\ & =8+2(\square)-6(2)-4 \\ & =8+(\square)=12-4 \\ & =\square \square \square) \end{aligned} \] Since? \( \square \) is 3 zero of \( P(x), x=2 \) \( \square \) is a factor of \( P(x) \),
Álgebra United States Feb 27, 2025
Use the remainder theorem to find the remainder when \( f(x) \) is divided by \( x+2 \). Then use the factor theorem to determine whether \( x+2 \) is a factor of \( f(x) \). \( f(x)=2 x^{6}-8 x^{4}+x^{3}-9 \) The remainder is
Álgebra United States Feb 27, 2025
Solve the given equation for \( d \) \( \frac{3}{4}(2 d-3)=3(d+2)-\frac{1}{4} d \)
Álgebra United States Feb 27, 2025
\( P(x)=x^{3}+6 x^{2}-32 \) All the real zeros of the given polynomlal are integers. Find the zeros. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) Write the polynomial in factored form. \( P(x)=\square \)
Álgebra United States Feb 27, 2025
Find the quotient and remainder using synthetic division. \[ \frac{x^{3}-4 x^{2}+8 x-8}{x-2} \] quotient remainder
Álgebra United States Feb 27, 2025

Latest Algebra Questions

Solve the given equation for \( d \) \( \frac{3}{4}(2 d-3)=3(d+2)-\frac{1}{4} d \)
Álgebra United States Feb 27, 2025
\( P(x)=x^{3}+6 x^{2}-32 \) All the real zeros of the given polynomlal are integers. Find the zeros. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) Write the polynomial in factored form. \( P(x)=\square \)
Álgebra United States Feb 27, 2025
phrase I. The difference between three times \( x \) and fifteen is greater than or equal to five 2. Five more than sixteen times \( x \) is less than or equal to six 3. Three more than two times \( x \) is less than seven \( \square \) 4. Five less than four times \( x \) is less than or equal to sixteen 5. Six times the sum of \( x \) and twelve is less than fourteen 6. The difference between fifteen and two times \( x \) is greater than five 7. The difference between eleven and four times \( x \) is greater than or equal to three 8. The sum of negative three times \( x \) and five is less than or equal to negative four 9. Fourteen less than five times \( x \) is at most eleven \( \qquad \) 10. Twice the sum of nine and \( x \) is greater than twenty II. Ten less than three times \( x \) is greater than eleven 12. Thirteen plus five times \( x \) is no more than thirty 13. Thirteen more than three times \( x \) is no more than the opposite of eleven 14. Half of the sum of \( x \) and six is no less than twenty 15. The difference between negative five times \( x \) and eight is greater than twelve. Solve only your inequalities! Look for your answer at the bottom. \[ \begin{array}{ll} N \quad 2 x+3 \leq 7 & E \\ C & 14-5 x \leq 11 \\ \text { C } 15-2 x>5 & \text { R } \\ F(9+x)>20 \\ E \quad 1 / 2 x+6 x \leq 30 & \text { D } \end{array} 6(x+12)<141 \] \[ \text { L } 5 x-14 \leq 11 \quad H \quad-3 x-5<-4 \] \[ \text { U } 3 x-15 \geq 5 \quad \text { A } 1 / 2(x+6) \geq 20 \] \[ E \quad 6(x-12)>14 \backslash \text { H } \quad 11-4 x \geq 3 \] \[ 3 x-10>11 \quad 0 \quad-5 x-8>12 \] \[ \vee 16 x+5<6 \quad \& \quad 3 x+13 \leq-11 \] \[ \text { Y } 4 x-5 \geq 16 \quad \text { \& } 16 x+5 \leq 6 \]
Álgebra United States Feb 27, 2025
Find the quotient and remainder using synthetic division. \[ \frac{3 x^{4}+8 x^{3}+5 x^{2}+x+1}{x+\frac{2}{3}} \] quotient remainder
Álgebra United States Feb 27, 2025
Use the remainder theorem to find the remainder when \( f(x) \) is divided by \( x+2 \). Then use the factor theorem to determine whether \( x+2 \) is a factor of \( f(x) \). \( f(x)=2 x^{6}-8 x^{4}+x^{3}-9 \) The remainder is
Álgebra United States Feb 27, 2025
Anterior Próximo
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde Hazte Premium
Estudiar puede ser una verdadera lucha
¿Por qué no estudiarlo en UpStudy?
Seleccione su plan a continuación
Prima

Puedes disfrutar

Empieza ahora
  • Explicaciones paso a paso
  • Tutores expertos en vivo 24/7
  • Número ilimitado de preguntas
  • Sin interrupciones
  • Acceso completo a Respuesta y Solución
  • Acceso completo al chat de PDF, al chat de UpStudy y al chat de navegación
Básico

Totalmente gratis pero limitado

  • Solución limitada
Bienvenido a ¡Estudia ahora!
Inicie sesión para continuar con el recorrido de Thoth AI Chat
Continuar con correo electrónico
O continuar con
Al hacer clic en "Iniciar sesión", acepta nuestros términos y condiciones. Términos de Uso & Política de privacidad