Question

What power of 2 is got by multiplying 2 5 and 23 answer

Answer 1

Answer:

5×5×5 . 5×5=25 & 25×2=125

Answer 2

SOLUTION

TO DETERMINE

The power of 2 is got by multiplying 2⁵ and 2³

FORMULA TO BE IMPLEMENTED

We are aware of the formula on indices that

$\sf {a}^{m} \times {a}^{n} = {a}^{m + n}$

EVALUATION

Let n be the power of 2 obtained by multiplying 2⁵ and 2³

So by the given condition

$\displaystyle \sf{ {2}^{n} = {2}^{5} \times {2}^{3} }$

$\displaystyle \sf{ \implies {2}^{n} = {2}^{5 + 3} }$

$\displaystyle \sf{ \implies {2}^{n} = {2}^{8} }$

$\displaystyle \sf{ \implies n = 8 }$

FINAL ANSWER

Hence power of 2 is 8

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Learn more from Brainly :-

$1.$ choose the correct alternative : 100¹⁰⁰ is equal to (a) 2¹⁰⁰ × 50¹⁰⁰ (b) 2¹⁰⁰ + 50¹⁰⁰ (c) 2² × 50⁵⁰ (d) 2² + 50⁵⁰

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2. Using law of exponents, simplify (5²)³÷5³

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