Question
(a) Simplify (i) \( x^{0} \), (ii) \( m^{4} \times m^{3} \) Find the value of \( x \)
Ask by Bryant Whittaker. in India
Feb 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( x^{0} = 1 \) and \( m^{4} \times m^{3} = m^{7} \). To find the value of \( x \), more information is needed.
Solution
Calculate or simplify the expression \( x^0 \).
Simplify the expression by following steps:
- step0: Solution:
\(x^{0}\)
- step1: Evaluate the power:
\(1\)
Calculate or simplify the expression \( m^4 \times m^3 \).
Simplify the expression by following steps:
- step0: Solution:
\(m^{4}\times m^{3}\)
- step1: Simplify the expression:
\(m^{4+3}\)
- step2: Add the numbers:
\(m^{7}\)
The simplified form of \( x^{0} \) is 1.
The simplified form of \( m^{4} \times m^{3} \) is \( m^{7} \).
To find the value of \( x \), we need more information or context about the value of \( x \) in the expression \( x^{0} \).
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Simplify this solution Mind Expander
For part (i), any non-zero number raised to the power of zero equals one, so \( x^{0} = 1 \). Now onto part (ii), when you multiply powers of the same base, you simply add the exponents. Therefore, \( m^{4} \times m^{3} = m^{(4+3)} = m^{7} \). As for finding the value of \( x \), since \( x^{0} \) is always equal to 1 for any \( x \neq 0 \), \( x \) can be any non-zero number!
