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9-71.

In a previous course you may have learned that $8^{3} = 8 · 8 · 8 = 512$. Rewrite the following expressions using multiplication and then calculate the final value for each of them (as shown for $8^{3}$ above).

1. $10^{4}$

Each exponent (the smaller number to the top right of the $10$) represents another $10$ by which to multiply.

$\left(10\right)\left(10\right)\left(10\right)\left(10\right) = 10{,}000$

1. $5^{3}$

What is the exponent in this problem?
That will be the number of fives to multiply together.

$\left(5\right)\left(5\right)\left(5\right) = 125$

1. $(\frac { 1 } { 2 })^2$

Remember, when multiplying fractions, you simply multiply the numerators together and denominators together.

1. $\left(–2\right)^{3}$

The product of three negative numbers is a negative number.