Algebra Laws of Exponents

Which of the following is equivalent to the given expression? 5^-2

• -25

• -10

• -1/25

• 1/25

Simplify. Write with only positive exponents.

(7uv²)^-5

Simplify. Write with only positive exponents.

• 42x⁵

According to exponent rules, when we multiply the same base we _______ the exponents.

• Multiply

• Add

• Divide

• Subtract

Simplify:
x⁵⋅x¹⁰

• x¹⁵

• x⁵⁰

• x²

• x⁵

Billy was asked to solve 3⁵∙3⁴. He got 9²⁰. What error did he make?

• When he multiplies exponents, he is supposed to add the base and the exponent

• When he multiplies exponents, he is supposed to multiply the base and keep the exponents

• When he multiplies exponents, he is supposed to keep the base and add the exponents if the base is the same

• None of the above

Simplify.
-4a^-2 ⋅ 2ab³

• -8b³/a³

• -6b³/a

• 6b³/a

• -8b³/a

Simplify
(-7y²)(5y⁴)

• -35y⁶

• -2y⁶

• -35y⁸

• -2y⁸

b³b⁴b⁷b

• b

• b¹⁴

• b¹⁵

• b⁸⁴

(6x²)(-3x⁵)

• 18x⁷

• -18x⁷

• 18x¹⁰

• 3x⁷