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Select the answer which is equivalent to the given expression using your calculator.

a=4" and "b=243

-(64)/(225)

(64)/(225)

(8)/(225)

-(8)/(225)

Select the answer which is equivalent to the given expression using your calculator. $\newline$ $a=4 \text { and } b=243$ $\newline$ $-\frac{64}{225}$ $\newline$ $\frac{64}{225}$ $\newline$ $\frac{8}{225}$ $\newline$ $-\frac{8}{225}$

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Multiplication with rational exponents

Full solution

Q. Select the answer which is equivalent to the given expression using your calculator.

\newline

a=4 \text { and } b=243

\newline

-\frac{64}{225}

\newline

\frac{64}{225}

\newline

\frac{8}{225}

\newline

-\frac{8}{225}

Understand the problem: Understand the problem. $\newline$ We are given the expression $-\frac{64}{225}$ and asked to select the equivalent answer from the options provided. We need to simplify the given expression if possible and then compare it with the options.
Simplify the expression: Simplify the given expression. $\newline$ The expression $-\frac{64}{225}$ is already in its simplest form. It is a negative fraction and cannot be simplified further because the numerator and the denominator have no common factors other than $1$ .
Compare with options: Compare the simplified expression with the options. $\newline$ The given expression is $-\frac{64}{225}$ . We compare this directly with the options: $\newline$ a) $\frac{64}{225}$ - This is the positive version of the given expression, so it is not equivalent. $\newline$ b) $-\frac{64}{225}$ - This matches the given expression exactly. $\newline$ c) $\frac{8}{225}$ - This is a positive fraction and does not have the same value as the given expression. $\newline$ d) $-\frac{8}{225}$ - This is a negative fraction but the numerator is different from the given expression, so it is not equivalent.

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