Simplify- 25- t-45-3- 10- t-8 t- 0

Given: 25 ×t^ 45^ 3× 10 ×t^ 8 = 5^2×t^ 4×5^3×t^810 = 5^2 + 2× 5 ×t^ 4 + 85 × 2 = 5^4×t^42 ...

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Standard IX

Mathematics

Laws of Exponents for Real Numbers

Simplify: 2...

Question

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

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Solution

Given: $\frac{25 \times t^{- 4}}{5^{- 3} \times 10 \times t^{- 8}}$

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

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

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

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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)

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

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)

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Simplify: 25×t−45−3×10×t−8 (t≠0)

Given: 25×t−45−3×10×t−8=52×t−4×53×t810=52+2×5×t−4+85×2=54×t42

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

Given: $\frac{25 \times t^{- 4}}{5^{- 3} \times 10 \times t^{- 8}}$

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

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

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