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Video: Simplifying Algebraic Expressions Using Laws of Exponents

Bethani Gasparine

Simplify ((2/9)𝑎⁻⁶𝑏²)².

00:39

Video Transcript

Simplify two-ninths 𝑎 to the negative sixth 𝑏 squared all of that is squared.

So we need to square the two and square the nine. Here, we use the property, where we’re actually going to multiply negative six and two. So we have 𝑎 to the negative twelfth.

And then two times two gives us 𝑏 to the fourth, so four eighty first 𝑎 to the negative twelfth 𝑏 to the fourth. And then we take two times two, which gives us 𝑏 to the fourth, so four eighty first 𝑎 to the negative twelfth 𝑏 to the fourth.