Question

compare 7 to the power 24 and 8 to the power 16​

Answer 1

Step-by-step explanation:

7 to the power 24 is similar as

7 x 7 x... 24 times

and

8 to the power 16 is similar as

8 x 8 x... 16 times.

on finding the products we get

${7}^{24} = 1.51981231381e20$

here e means

$\times {10}^{?}$

and

${8}^{16} = 2.81474976710656e14$

so we can see,

7 to the power 24 is greater than 8 to the power 16

Answer 2

$7^{24}$  > $8^{16}$

Step-by-step explanation:

We have,

$7^{24}$ = $8^{16}$

Compare the two numbers  $7^{24}$ and $8^{16}$ .

∴ $7^{24}$

Taking log, we get

$\log 7^{24}$

= $24\log 7$

= 24 × 0.845

= 20.28

Also, $8^{16}$

Taking log, we get

= $16\log 8$

= $16\log 2^3$

= $48\log 2$

= 48 × 0.3010

= 14.448

20.28 > 14.448

∴ $7^{24}$  > $8^{16}$