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

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

Step 1

Rewrite using the commutative property of multiplication.

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

Step 2

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

Move $x^{3}$ .

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

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

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

Subtract $8$ from $3$ .

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

Step 3

Multiply $7$ by $6$ .

$42 x^{- 5}$

Step 4

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

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

Step 5

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

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