Question

1) Express each of the following numbers as a product of powers of their prime factors. a) 36 = 2 to the power 2×3 to the power 2 b) 72
= 2 to the power 3×3 to the power 2
c) 125
= 2 to the power 7
d) 625
= 5 to the power 4
e) 343
= 7×3 to the power 2
f) 540
= 2 to the power 2×5×3 to the power 3
g) 512
= 2 to the power 9
h) 729
= 3 to the power 6​
Can you guys check if these answers are correct or not.

Answer 1

Powers and Exponents

$36 = {2}^{2} \times {3}^{2}$

$72 = {2}^{3} \times {3}^{2}$

$125 = {5}^{3}$

$625 = {5}^{4}$

$343 = 7 \times {3}^{2}$

$540 = {2}^{2} \times 5 \times {3}^{2}$

$512 = {2}^{9}$

$729 = {3}^{6}$

In the above sum, $729 = {3}^{6}$ = 3 is known as base and 6 is known as exponent. ${3}^{6}$ is known as power. We should read it as 3 to the power 6.

Know More :

Q) verify that [(729)-5/3]-1/2=(729) - 5/3*(-1/2)

A) https://brainly.in/question/607632

Q) Read the exponential number: $13^{6}$

A) https://brainly.in/question/7468383

Answer 2

Answer:

36=2²×3²

72 = 3 ×3²

125 = 5³

625 = 5⁴

343 = 7×3²

540 = 2²×5×3²

512 =2⁹

729 =3⁶