Question Video: Simplifying Algebraic Expressions Using Laws of Exponents | Nagwa Question Video: Simplifying Algebraic Expressions Using Laws of Exponents | Nagwa

Question Video: Simplifying Algebraic Expressions Using Laws of Exponents Mathematics

Simplify (๐ รท ๐โท)^(10).

01:07

Video Transcript

Simplify ๐ divided by ๐ to the seventh power to the 10th power.

The first thing we can go ahead and do is note that ๐ can also be written as ๐ to the first power. After that, we wanna distribute this 10th power to the ๐ to the first power and ๐ to the seventh power.

Doing this is taking a power to a power. And that means we multiply the exponents together. ๐ to the first power becomes ๐ to the one times 10 power. And ๐ to the seventh power becomes ๐ to the seven times 10 power. Bring down the division, ๐ to the 10th divided by ๐ to the 70th. We can rewrite this division as a fraction, ๐ to the 10th over ๐ to the 70th.

Our simplified form is ๐ to the 10th power over ๐ to the 70th power.

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