Question

a. Evalute the following,
1. 5²x 5⁴​

Answer 1

Answer:

hlo

Step-by-step explanation:

5×5=25

5×5×5×5=625

25×625=15625. ANS

Answer 2

QUESTION :

Evalute the following :-

1) 5²x 5⁴

SOLUTION :

$⟹ {5}^{2} \times {5}^{4}$

using the identity :-

${a}^{m} {a}^{n} = {(a)}^{m + n}$

$⟹ {5}^{2} \times {5}^{4} = {(5)}^{2 + 4}$

$⟹ {(5)}^{6}$

$⟹5 \times 5 \times 5 \times 5 \times 5 \times 5$

$⟹ 15625$

ANSWER:

⟹ 15625 or 5⁶

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LAWS OF EXPONENT :-

$1)a^m × a^n= {a}^{(m + n)}$

$2) {( {a}^{m})}^{n}  = {a}^{mn}$

$3) {ab}^{n} = {a}^{n} {b}^{n}$

$4) \frac{ {(a)}^{m} }{ {(a)}^{n} } = {a}^{m - n}$

$5) {a}^{ - b} = \frac{1}{ {a}^{b} }$

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