What is 7x^{-4}\times 6x^4 ?

The solution to 7x^{-4}\times 6x^4 is 42

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simplify 7x^{-4}\times 6x^4

simplify

7 x^{- 4} \cdot 6 x^{4}

42

Solution steps

7 x^{- 4} \cdot 6 x^{4}

Multiply the numbers:

7 \cdot 6 = 42

= 42 x^{- 4} x^{4}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x^{- 4} x^{4} = x^{- 4 + 4}

= 42 x^{- 4 + 4}

Add/Subtract the numbers:

- 4 + 4 = 0

= 42 x^{0}

Apply exponent rule:

a^{0} = 1,

assuming

a \neq = 0

x^{0} = 1

= 42 \cdot 1

Multiply the numbers:

42 \cdot 1 = 42

= 42

- \frac{5}{8} + \frac{1}{10} + \frac{3}{4}

\frac{72 - 3}{21}

- x \cdot x^{3}

2 x - 1 x

4 \times 12