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If 16 to the power of x = 1/64. what is the value of x?

User Mjswensen
by
4.7k points

2 Answers

6 votes

Answer:

-3/2

Explanation:

A Negative Exponent means that 1 over that number to whatever exponent represented:

In your case 16^x = 1/64.

(4^2)^x = 1/64

(4^2)^x = 64^-1

4^2x = (4^3)^-1

2x = -3

x = -3/2

User Brandon Yarbrough
by
5.1k points
3 votes

Answer:

-3\2

Explanation:

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If 16 to the power of x = 1/64. what is the value of x?-example-1
User Snowskeleton
by
5.3k points