Question

(4^3)^5

Answer 1

Find the equivalent exponential expression

Answer 2

4 to the 3rd power x 5.

Answer 3

that didn't follow over lol sorry

Answer 4

Oh, do you have options?

Answer 5

No

Answer 6

Alright, well what is 4 to the third power?

Answer 7

64

Answer 8

Correct.
64 times 5

Answer 9

wouldnt it be to the fifth?

Answer 10

As in 64 to the fifth power?

Answer 11

yeah because the problem is (4^3)^5

Answer 12

so wouldnt it be (64)^5

Answer 13

If you did that, it'd be a whole bunch of numbers like....
1073741824

Answer 14

okay I think I get it

Answer 15

if you did 64 x 5, it'd be 320 and then you'd simplify that.

Answer 16

How?

Answer 17

okay this question is solved just bu using an identity

the identity is-
\(\Large (x^a)^b= x^{a \times b}\)

try it now :)

Answer 18

*by

Answer 19

So 4^3*^5 just multiply exponents?

Answer 20

and x stays the same

Answer 21

and x stays the same

Answer 22

yeah the base will remain the same
so \(\Large (4)^{3 \times 5}\)

Answer 23

So it would be (4^15)

Answer 24

yes :) \(\Huge\color{green}{✓}\)

Answer 25

Thanks

Answer 26

no problem (B