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Video: Simplifying Algebraic Expressions Using Laws of Exponents

Kathryn Kingham

Simplify 𝑏⁵ × 𝑏².

00:46

Video Transcript

Simplify 𝑏 to the fifth times 𝑏 squared.

This is where we need the product rule, which says that to multiply two exponents with the same base, you keep the base and add the powers together.

Here we’re trying to multiply 𝑏 to the fifth times 𝑏 squared. They do have the same base, which means we need to just add their exponents.

𝑏 to the fifth times 𝑏 squared can be simplified to be to 𝑏 to the seventh power.