Question

Could someone help me? Why does x^4 * x^-4 = 1?

Answer 1

Answer:

Step-by-step explanation:

when you have a negative exponent, you are going to have a fraction. Example: 2^4 * 2^-4= 2^4 is 16 2^-4 is 1/16.

You get the 16 but because it was a negative exponent, the 16 goes on the bottom. 16 as a fraction is 16/1.

When you multiply 16/1 and 1/16. It comes up to 16/16 or 1.

Does this help?

Answer 2

Answer:

below

Step-by-step explanation:

We can use the product rule of exponents to solve [ x^y * x^z = x^y+z ].

x^4 * x^-4 = 1

x^4+(-4) = 1

x^0 = 1

1 = 1

Best of Luck!