Algebra Examples

$8^{- 7} \cdot 8^{7} \cdot 10^{4} \cdot 10^{- 4}$

Step 1

Multiply $8^{- 7}$ by $8^{7}$ by adding the exponents.

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Step 1.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$8^{- 7 + 7} \cdot 10^{4} \cdot 10^{- 4}$

Step 1.2

Add $- 7$ and $7$ .

$8^{0} \cdot 10^{4} \cdot 10^{- 4}$

Step 2

Simplify $8^{0} \cdot 10^{4} \cdot 10^{- 4}$ .

$10^{4} \cdot 10^{- 4}$

Step 3

Multiply $10^{4}$ by $10^{- 4}$ by adding the exponents.

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Step 3.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$10^{4 - 4}$

Step 3.2

Subtract $4$ from $4$ .

$10^{0}$

Step 4

Simplify $10^{0}$ .

$1$