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9 votes
Yo, already tried -4 and -1/4. This is probs obvious but i need help. Thanks g

Yo, already tried -4 and -1/4. This is probs obvious but i need help. Thanks g-example-1

2 Answers

4 votes

Answer:

x = -3/2

Explanation:

We make both numbers have the same bases.

We know 2^4 = 16 and 2^-6 = 1/64 because a negative exponent means you get the reciprocal of the number.

2^4x = 2^-6

Let exponents equal each other.

4x = -6

x = 6/4 = -3/2

x = -3/2

User Frew Schmidt
by
3.0k points
10 votes

Explanation:


16 {}^(x) = (1)/(64)


4 {}^(2x) = 4 {}^( - 3)


2x = - 3


x = - (3)/(2)

User Geeky Singh
by
3.7k points