Product Rule (Multiple Bases) Problems

8 questions

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#1 of 8: Mild

Product rule (multiple bases)

Simplify:`(a^-3 b^5)(a^5 b^-2)`Write your answer as a simplified expression using only positive exponents.

#2 of 8: Medium

Product rule (multiple bases)

Simplify:`(u^6 v^-8)(u^-9 v^4)`Write your answer as a simplified expression.

#3 of 8: Medium

Product rule (multiple bases)

Simplify:`(3^-5 y^4)(3^2 y^-2)`Write your answer as a simplified expression.

#4 of 8: Medium

Product rule (multiple bases)

Simplify:`(x^-8 y^5)(x^6 y^-5)`Write your answer as a simplified expression.

#5 of 8: Spicy

Product rule (multiple bases)

Simplify:`(3^4x^-3y^8)(3^-2x^-6y^-10)`Write your answer as a simplified expression.

#6 of 8: Spicy

Product rule (multiple bases)

Simplify:`(r^-4s^6t^2)(s^-2t^-7r^4)`Write your answer as a simplified expression using only positive exponents.

#7 of 8: Spicy

Product rule (multiple bases)

Simplify:`(p^1q^-4)(p^-3q^8r^-5)`Write your answer as a simplified expression using only positive exponents.

#8 of 8: Spicy

Product rule (multiple bases)

Simplify:`(f^7g^-9h^0)(f^4g^5h^-2)`Write your answer as a simplified expression using only positive exponents.

The product rule of exponents states that when the bases of two numbers or variables differ, we can multiply the expressions by applying certain simple exponent principles. The bases are multiplied first when multiplying exponents with various bases and the same powers. When distinct bases and powers of expressions are multiplied, each expression is evaluated independently and then multiplied.

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Grade 8

Exponents

8.EE.A.1