Video: Dividing Positive Integer Expressions by Negative Integer Exponents

Write an expression equal to 2⁻³ ÷ 2⁻⁵.

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Video Transcript

Write an expression equal to two to the negative third power divided by two to the negative fifth power.

When dividing like bases, we can actually subtract their exponents. So our like bases are two, and our exponents are negative three and negative five. So we need to subtract our exponents.

So we have two to the negative three minus negative five power, and negative three minus negative five is really equal to two to the negative three plus five because if we subtract a negative, we’re really adding. And negative three plus five is equal to two.

Therefore, an expression that would be equal to two to the negative three power divided by two to the negative five power would be two to the second power or two squared.

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