Question

The value of 2 + 5⁻² × 5³ is
a)5
b)2
c)7

Answer 1

Answer:

7. is the answer of the question

Answer 2

Given:

• 2 + 5⁻² × 5³

To finD:

• Value of expression

Solution:

We are given that 2 + 5⁻² × 5³.

We know *According to laws of negative exponent*, if ${a}^{ - m}$ is given where a is natural number then we can write it as $\frac{1}{ {a}^{n} }$

Therefore,

We can write given expression as :

$\large{\sf{2+\dfrac{1}{5²}×5³}}$

Solving this :-

$\large{\sf{2+\dfrac{1}{5²}×5³}}$

$\large{\implies{\sf{2+\dfrac{1}{5×5}×5×5×5}}}$

$\large{\implies{\sf{2+\dfrac{1}{25}×125}}}$

$\large{\implies{\sf{2+\dfrac{1}{\cancel{25}}×\cancel{125}}}}$

$\large{\implies{\sf{2+1×5}}}$

$\large{\implies{\sf{2+5}}}$

$\large{\boxed{\green{\implies{\sf{7}}}}}$

Therefore,

• Option C is correct ✅

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