Question

5 to the power -2 * 5x is equal to 1 solve for x ​

Answer 1

x = 5

Explanation:

This statement translates into 5^(-2)*5x = 1, which by rules of exponents simplifies to:

5x x

--------- = 1, or ----- = 1

5^2 5

Cross-multiplying, we get x = 5

Answer 2

5^-2 * 5x = 1

Simplify:

5^-2 = 1/25

Now you have 1/25 * 5x = 1

1/25 x 5 = 1/5

1/5x = 1

Divide both sides by 1/5 ( when dividing by a fraction, flip the fraction over an multiply)

x - 1 x 5/1 = 5

X = 5