Question

Write the expansion form: $(\frac{5}{2})^{6}$

Answer 1

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▶▶▶expansion form of $(\frac{5}{2})^{6}$ is...

$(\frac{5}{2})^{6} ==>>> 5/2 × 5/2× 5/2× 5/2× 5/2 × 5/2$

Answer 2

Answer :

$\dfrac{5}{2} \times \dfrac{5}{2} \times \dfrac{5}{2} \times \dfrac{5}{2} \times \dfrac{5}{2} \times \dfrac{5}{2}$

Explanation :-

Given :

Write the expansion form: $(\frac{5}{2})^{6}$

The Expansion form of the given exponential form is :

$\dfrac{5}{2} \times \dfrac{5}{2} \times \dfrac{5}{2} \times \dfrac{5}{2} \times \dfrac{5}{2} \times \dfrac{5}{2}$

we should write the given fraction 5/2 six times.

In the given exponential form -

${ (\dfrac{5}{2}) }^{6}$

The fraction 5/2 is known as base and 6 is the power.