Simplify 7x^-8*(6x^3)

$7 x^{- 8} \cdot (6 x^{3})$

Rewrite using the commutative property of multiplication.

$7 \cdot 6 (x^{- 8} x^{3})$

Multiply $x^{- 8}$ by $x^{3}$ by adding the exponents.

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

$7 \cdot 6 x^{- 8 + 3}$

Add $- 8$ and $3$ .

$7 \cdot 6 x^{- 5}$

Multiply $7$ by $6$ .

$42 x^{- 5}$

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

$42 \frac{1}{x^{5}}$

Combine $42$ and $\frac{1}{x^{5}}$ .

$\frac{42}{x^{5}}$

Simplify 7x^-8*(6x^3)

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