Basic Math Examples

${(4^{6})}^{- 7}$

Step 1

Multiply the exponents in ${(4^{6})}^{- 7}$ .

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Step 1.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$4^{6 \cdot - 7}$

Step 1.2

Multiply $6$ by $- 7$ .

$4^{- 42}$

Step 2

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

$\frac{1}{4^{42}}$

Step 3

Raise $4$ to the power of $42$ .

$\frac{1}{19342813113834100000000000}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{19342813113834100000000000}$

Decimal Form:

$5.16987882 \cdot 10^{- 26}$