Exponent of the final value of {( $3^{- 5}$ ) × ( $10^{- 5}$ ) × 125} / {( $5^{- 7}$ ) × ( $6^{- 5}$ )} is 5.

True

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False

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Solution

The correct option is A
True

{( $3^{- 5}$ ) × ( $10^{- 5}$ ) × 125} / {( $5^{- 7}$ ) × ( $6^{- 5}$ )}
= {( $3^{- 5}$ ) × ( $2^{- 5}$ ) × ( $5^{- 5}$ ) × ( $5^{3}$ )}/ {( $5^{- 7}$ ) × ( $2^{- 5}$ ) × ( $3^{- 5}$ )}
= {( $3^{- 5}$ ) × ( $2^{- 5}$ ) × ( $5^{- 2}$ )}/ {( $5^{- 7}$ )× ( $2^{- 5}$ ) × (( $3^{- 5}$ )}
= $5^{5}$

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Similar questions

\frac{3^{- 5} \times 10^{- 5} \times 125}{5^{- 7} \times 6^{- 5}}

m^{5}

m

Evaluate: $\frac{3^{- 5} \times 10^{- 5} \times 125}{5^{- 7} \times 6^{- 5}}$ .

\frac{3^{- 5} \times 10^{- 5} \times 125}{5^{- 7} \times 6^{- 5}}

\frac{3^{- 5} \times 10^{- 5} \times 125}{5^{- 7} \times 6^{- 5}}

Question 7(ii)
Simplify:
$\frac{3^{- 5} \times 10^{- 5} \times 125}{5^{- 7} \times 6^{- 5}}$

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