Simplify- 3-5- 10-5- 125-5-7- 6-5

The correct option is A 5^5 3^ 5× 10^ 5× 1255^ 7× 6^ 5 = 3^ 5 × (2× 5)^ 5 × 5^ 3 5^ 7 × (2× 3)^ 5 = 3^ 5 × 2^ 5 × 5^ 5 × 5^ 3 5^ 7 ...

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Byju's Answer

Standard VIII

Mathematics

Division of a Polynomial by a Monomial

Simplify: 3...

Question

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

5^{5}

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5^{4}

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5^{2}

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1

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Solution

The correct option is A $5^{5}$
$\frac{3^{- 5} \times 10^{- 5} \times 125}{5^{- 7} \times 6^{- 5}}$

$= \frac{3^{- 5} \times (2 \times 5)^{- 5} \times 5^{3}}{5^{- 7} \times (2 \times 3)^{- 5}}$

$= \frac{3^{- 5} \times 2^{- 5} \times 5^{- 5} \times 5^{3}}{5^{- 7} \times 2^{- 5} \times 3^{- 5}}$

$= 3^{- 5 + 5} \times 2^{- 5 + 5} \times 5^{- 5 + 3 + 7}$

$= 5^{5}$

$= 3125$

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Similar questions

Q. Simplify-

\frac{3^{- 5} \times 10^{5} \times 125^{- 1}}{5^{- 7} \times 6^{- 5}}

Q. simplify:

\frac{3^{- 5} \times 10^{5} \times 125^{- 1}}{5^{- 7} \times 6^{5}}

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

Simplify:

(i) $\frac{25 \times t^{- 4}}{5^{- 3} \times 10 \times t^{- 8}}$

(ii)

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

Simplify.(i) $\frac{25 \times t^{- 4}}{5^{- 3} \times 10 \times t^{- 8}}, t \neq 0$ , (ii) $\frac{3^{- 5} \times 10^{- 5} \times 125}{5^{- 7} \times 6^{- 5}}$

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Simplify: 3−5×10−5×1255−7×6−5

The correct option is A 553−5×10−5×1255−7×6−5=3−5×(2×5)−5×535−7×(2×3)−5=3−5×2−5×5−5×535−7×2−5×3−5=3−5+5×2−5+5×5−5+3+7=55=3125

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