Question

if 4^x = 7, what does 4^-2x equal?

Answer 1

Square the equation first :)

Answer 2

Then apply the reciprocal to the equation :)

Answer 3

can you do it so i can see

Answer 4

What is the square of 4^x?

Answer 5

@ajprincess

Answer 6

16^x^2?

Answer 7

4^(-2x)=4^(-2)*4^x
4^(-2)=1/4^2
4^2=4*4
the value of 4^x is given to u. so nw can u find the value of 4^(-2x)?

Answer 8

nevermind. i understand the problem

Answer 9

That x in 4^x looks like an infinity, lol\[4^x=7\]Square both sides.\[({4^x})^{2}=7^2\]When you have an exponent to another exponent, simply multiply them.\[4^{2x}=49\]Raise both sides to the -1 power. Again, we multiply exponents.\[4^{-2x}=49^{-1}\]The last step is to remember that raising something to a negative power means to take the reciprocal.\[4^{-2x}=\frac{1}{49}\]