Simplify these expressions. Input @ for \( { }^{2} \) and \# for \( { }^{3} \). \[ v \times 7 x= \] \( \square \) [1] \( 2 m \times \) \( \square \) \( =18 m n \) [1] \( 9 c \times 6 e= \) \( \square \) [1] \( 5 x \times \) \( \square \) \( =30 x^{2} \) \( 8 a \times 5 a= \) \( \square \) [1] \( 4 w \times \) \( \square \) \( =16 w^{2} x \) \[ 5 x w \times 2 w= \] \( \square \) [1] \( 5 c \times \) \( \square \) \( =30 a c^{3} \) [2] \[ 7 m n \times 7 m^{2} n= \] \( \square \) [1] \( \square \) \( \times 3 w^{2} x=15 w^{3} x^{3} \) \[ 4 a c x \times 5 a x^{2} \times 6 c= \] \( \square \) [2] \( \square \) \[ \times 4 a c^{2} e^{3}=20 a^{3} c^{3} e^{3} \] Mark it

Simplify the expression by following steps: - step0: Solution: \(9c\times 6e\) - step1: Multiply the terms: \(54ce\) - step2: Multiply the numbers: \(54ec\) Calculate or simplify the expression \( 4 * w * 16 * w^2 * x \). Simplify the expression by following steps: - step0: Solution: \(4w\times 16w^{2}x\) - step1: Multiply the terms: \(64w\times w^{2}x\) - step2: Multiply the terms: \(64w^{1+2}x\) - step3: Add the numbers: \(64w^{3}x\) Calculate or simplify the expression \( 4 * a * c^2 * e^3 * 20 * a^3 * c^3 * e^3 \). Simplify the expression by following steps: - step0: Solution: \(4ac^{2}e^{3}\times 20a^{3}c^{3}e^{3}\) - step1: Multiply the terms: \(80ac^{2}e^{3}a^{3}c^{3}e^{3}\) - step2: Multiply the terms: \(80a^{1+3}c^{2}e^{3}c^{3}e^{3}\) - step3: Add the numbers: \(80a^{4}c^{2}e^{3}c^{3}e^{3}\) - step4: Multiply the terms: \(80a^{4}c^{2+3}e^{3}\times e^{3}\) - step5: Add the numbers: \(80a^{4}c^{5}e^{3}\times e^{3}\) - step6: Multiply the terms: \(80a^{4}c^{5}e^{3+3}\) - step7: Add the numbers: \(80a^{4}c^{5}e^{6}\) - step8: Multiply the numbers: \(80e^{6}a^{4}c^{5}\) Calculate or simplify the expression \( 5 * x * 30 * x^2 \). Simplify the expression by following steps: - step0: Solution: \(5x\times 30x^{2}\) - step1: Multiply the terms: \(150x\times x^{2}\) - step2: Multiply the terms: \(150x^{1+2}\) - step3: Add the numbers: \(150x^{3}\) Calculate or simplify the expression \( 7 * m * n * 7 * m^2 * n \). Simplify the expression by following steps: - step0: Solution: \(7mn\times 7m^{2}n\) - step1: Multiply the terms: \(49mnm^{2}n\) - step2: Multiply the terms: \(49m^{1+2}n\times n\) - step3: Add the numbers: \(49m^{3}n\times n\) - step4: Multiply the terms: \(49m^{3}n^{2}\) Calculate or simplify the expression \( 5 * x * w * 2 * w \). Simplify the expression by following steps: - step0: Solution: \(5xw\times 2w\) - step1: Multiply the terms: \(10xw\times w\) - step2: Multiply the terms: \(10xw^{2}\) Calculate or simplify the expression \( 5 * c * 30 * a * c^3 \). Simplify the expression by following steps: - step0: Solution: \(5c\times 30ac^{3}\) - step1: Multiply the terms: \(150cac^{3}\) - step2: Multiply the terms: \(150c^{1+3}a\) - step3: Add the numbers: \(150c^{4}a\) Calculate or simplify the expression \( v * 7 * x \). Simplify the expression by following steps: - step0: Solution: \(v\times 7x\) - step1: Reorder the terms: \(7vx\) Calculate or simplify the expression \( 2 * m * 18 * n \). Simplify the expression by following steps: - step0: Solution: \(2m\times 18n\) - step1: Multiply the terms: \(36mn\) Calculate or simplify the expression \( 8 * a * 5 * a \). Simplify the expression by following steps: - step0: Solution: \(8a\times 5a\) - step1: Multiply the terms: \(40a\times a\) - step2: Multiply the terms: \(40a^{2}\) Calculate or simplify the expression \( 3 * w^2 * x * 15 * w^3 * x^3 \). Simplify the expression by following steps: - step0: Solution: \(3w^{2}x\times 15w^{3}x^{3}\) - step1: Multiply the terms: \(45w^{2}xw^{3}x^{3}\) - step2: Multiply the terms: \(45w^{2+3}x\times x^{3}\) - step3: Add the numbers: \(45w^{5}x\times x^{3}\) - step4: Multiply the terms: \(45w^{5}x^{1+3}\) - step5: Add the numbers: \(45w^{5}x^{4}\) Calculate or simplify the expression \( 4 * a * c * x * 5 * a * x^2 * 6 * c \). Simplify the expression by following steps: - step0: Solution: \(4acx\times 5ax^{2}\times 6c\) - step1: Multiply the terms: \(120acxax^{2}c\) - step2: Multiply the terms: \(120a^{2}cx\times x^{2}c\) - step3: Multiply the terms: \(120a^{2}c^{2}x\times x^{2}\) - step4: Multiply the terms: \(120a^{2}c^{2}x^{1+2}\) - step5: Add the numbers: \(120a^{2}c^{2}x^{3}\) Här är de förenklade uttrycken: 1. \( v \times 7 x = 7vx \) 2. \( 2 m \times \square = 18 m n \) ger \( \square = 36mn \) 3. \( 9 c \times 6 e = \square \) ger \( \square = 54ec \) 4. \( 5 x \times \square = 30 x^{2} \) ger \( \square = 150x^{3} \) 5. \( 8 a \times 5 a = \square \) ger \( \square = 40a^{2} \) 6. \( 4 w \times \square = 16 w^{2} x \) ger \( \square = 64w^{3}x \) 7. \( 5 x w \times 2 w = \square \) ger \( \square = 10xw^{2} \) 8. \( 5 c \times \square = 30 a c^{3} \) ger \( \square = 150c^{4}a \) 9. \( 7 m n \times 7 m^{2} n = \square \) ger \( \square = 49m^{3}n^{2} \) 10. \( \square \times 3 w^{2} x = 15 w^{3} x^{3} \) ger \( \square = 45w^{5}x^{4} \) 11. \( 4 a c x \times 5 a x^{2} \times 6 c = \square \) ger \( \square = 120a^{2}c^{2}x^{3} \) 12. \( \square \times 4 a c^{2} e^{3} = 20 a^{3} c^{3} e^{3} \) ger \( \square = 80e^{6}a^{4}c^{5} \) Om du har fler frågor eller behöver ytterligare hjälp, tveka inte att fråga!