Basic Math Examples

$7 y + 78 z + 78 \cdot 9^{2 - 7^{3}}$

Step 1

Simplify each term.

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Step 1.1

Raise $7$ to the power of $3$ .

$7 y + 78 z + 78 \cdot 9^{2 - 1 \cdot 343}$

Step 1.2

Multiply $- 1$ by $343$ .

$7 y + 78 z + 78 \cdot 9^{2 - 343}$

Step 2

Subtract $343$ from $2$ .

$7 y + 78 z + 78 \cdot 9^{- 341}$

Step 3

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$7 y + 78 z + 78 \cdot \frac{1}{9^{341}}$

Step 4

Combine $78$ and $\frac{1}{9^{341}}$ .

$7 y + 78 z + \frac{78}{9^{341}}$