Simplify - 25 - t-4-5-3- 10 - t-8 t - 0

25 × t^ 45^ 3× 10 × t^ 8 =5^2 × t^ 45^ 3× 10 × t^ 8 =5^2+3× t^ 4+8 5× 2 =5^5× t^4 5× 2 =5^4× t^4 2 =625× t^42 ...

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Byju's Answer

Standard IX

Mathematics

Laws of Exponents for Real Numbers

Simplify : ...

Question

Simplify : $\frac{25 \times t^{- 4}}{5^{- 3} \times 10 \times t^{- 8}} (t \neq 0)$

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Solution

$\frac{25 \times t^{- 4}}{5^{- 3} \times 10 \times t^{- 8}}$ $= \frac{5^{2} \times t^{- 4}}{5^{- 3} \times 10 \times t^{- 8}}$

$= \frac{5^{2 + 3} \times t^{- 4 + 8}}{5 \times 2}$

$= \frac{5^{5} \times t^{4}}{5 \times 2}$

$= \frac{5^{4} \times t^{4}}{2}$

$= \frac{625 \times t^{4}}{2}$

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Similar questions

Q. Simplify:

\frac{25 \times t^{- 4}}{5^{- 3} \times 10 \times t^{- 8}} (t \neq 0)

Q. Simplify:

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

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Q. Simplify.

\frac{25 \times t^{- 4}}{5^{- 3} \times 10 \times t^{- 4}} (t \neq 0)

Q. If

\frac{25 \times t^{- 4}}{5^{- 3} \times 10 \times t^{- 8}} (t \neq 0)

\frac{m}{2} t^{4}

, then the value of

m

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Simplify : 25×t−45−3×10×t−8(t≠0)

25×t−45−3×10×t−8=52×t−45−3×10×t−8=52+3×t−4+85×2=55×t45×2=54×t42=625×t42

Simplify : $\frac{25 \times t^{- 4}}{5^{- 3} \times 10 \times t^{- 8}} (t \neq 0)$

$\frac{25 \times t^{- 4}}{5^{- 3} \times 10 \times t^{- 8}}$ $= \frac{5^{2} \times t^{- 4}}{5^{- 3} \times 10 \times t^{- 8}}$

$= \frac{5^{2 + 3} \times t^{- 4 + 8}}{5 \times 2}$

$= \frac{5^{5} \times t^{4}}{5 \times 2}$

$= \frac{5^{4} \times t^{4}}{2}$

$= \frac{625 \times t^{4}}{2}$