103k views
3 votes
Simplify:
8^15 ÷ 8^−3

Please also explain how you got your answer. Thanks!

User Luiz Alves
by
6.0k points

1 Answer

1 vote

Answer:

x^18, or x¹⁸

Explanation:

8¹⁵/8⁻³

8¹⁵ ₓ 8³

8¹⁸

When an exponent is negative, you have to flip what the exponent is attached to. If the negative exponent is the numerator(x⁻¹/1), it becomes a denominator(1/x¹). If the negative exponent is in the denominator (1/x⁻¹), it becomes a numerator(x¹/1).

User Moshe Eshel
by
6.2k points