Question

Need Exponent Help

Answer 1

throw it my way

Answer 2

\[2^{2x} \times 2^{3} = 2 \] what is the value of x

Answer 3

we can use this property

Answer 4

since \[2 = 2^1\]

\[2^{2x} * 2^3 = 2^1\]

Answer 5

yes, but then what would be the value of x

Answer 6

2^(2x+3)=2^1
2x+3=1
x=-1

Answer 7

therefore 2x + 3 = 1

Answer 8

then solve for x

Answer 9

2x = -2

Answer 10

x = -1

Answer 11

manyo do you understand that?

Answer 12

yes, but so we would have two exponets. 2 and -1

Answer 13

and the two exponents would be multiplied.

Answer 14

\[2^{2x} * 2^3 = 2^1\]

Answer 15

if we replace the x with a -1 we get \[2^{-2} * 2^3 = 2^1\]

Answer 16

and we can check our answer this way since -2 + 3 = 1

Answer 17

which satisfies this property