Question

Which expression is equivalent to 16^3?

Answer 1

What are the options

Answer 2

2^11

Answer 3

2^7

Answer 4

2^12

Answer 5

2^64

Answer 6

Keep simplifying, can you simplify 16 in exponents?

Answer 7

\[16=4^2\] right?

Answer 8

no

Answer 9

why not?

Answer 10

none of those are the option

Answer 11

Remember \[4^2 = 4 \times 4\] the exponent just tells you how many times you multiply by itself

Answer 12

So we have now \[(4^2)^3 = 4^6\] now can we simplify 4?

Answer 13

so itll be 2^64

Answer 14

No, \[4 = 2^2 \]

Answer 15

\[(2^2)^6\]

Answer 16

im so confused

Answer 17

Ok so we have \[16^3 \] and we need it to be one of the options right

Answer 18

yes

Answer 19

So we just simplify the integer we have, as it goes into 2, we are trying to get that 2 first

Answer 20

okay

Answer 21

\[16^3 = (4^2)^3 = 4^{2 \times 3} = 4^6 \] see how that works?

Answer 22

Because \[4^2 = 16\]

Answer 23

\[4^2 = 4 \times 4 = 16\]