Question

Simplify the questions
(4/5)^2 ×(4/5)^-3​

Answer 1

Answer:

(4/5)^2 × (4/5)^-3

=(4/5)^2 × (5/4)^3

=5/4

=1.25

Step-by-step explanation:

✌️:)

Answer 2

$(\frac{4}{5})^2\times (\frac{4}{5})^{-3}$ = $\frac{5}{4}$

Explanation:

Given: $(\frac{4}{5})^2\times (\frac{4}{5})^{-3}$ = ?

Splitting the squares, we get

= $\frac{4^2}{5^2} \times \frac{4^{-3}}{5^{-3}}$ [Applying the Negative Exponent Rule]

Negative exponents in the numerator move to the denominator and become positive exponents.

= $\frac{4^2}{5^2} \times \frac{5^3}{4^3}$

= $\frac{16}{25} \times \frac{125}{64}$

= $\frac{5}{4}$

$(\frac{4}{5})^2\times (\frac{4}{5})^{-3}$ = $\frac{5}{4}$

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