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 Depdendent Variable

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 Dependent Variable

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# Multiplication Property of Exponents

We can extend the Multiplication Property of Exponents to multiply more than two factors.

Example 1

Find: 84 Â· 8 Â· 85. Leave your answer in exponential notation.

Solution

The bases are the same, so we can use the Multiplication Property of Exponents.

Note: 8 = 81

84 Â· 8 Â· 85 = 84 Â· 81 Â· 85 = 84 + 1 + 5 = 810

We left 810 in exponential form. To evaluate 810, use the â€œyxâ€ key on a scientific calculator or the â€œ^â€ key on a graphing calculator.

810 = 1,073,741,824

Example 2

Find: x7 Â· x3 Â· x5

Solution

The operation is multiplication and the bases are the same.

Therefore, add the exponents and use x as the base. x7 Â· x3 Â· x5  = x7 + 3 + 5 = x15