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How do you simplify $(2 x^{8}) (- 5^{7}) (4 x^{5})$ $(2x^8)(-5^7)(4x^5)$ ?

1 Answer

Jan 19, 2017

$- 625000 x^{13}$ $-625000x^13$

Explanation:

Simplify $(2 x^{8}) (- 5^{7}) (4 x^{5})$ $(2x^8)(-5^7)(4x^5)$

Simplify $(- 5^{7})$ $(-5^7)$

$- 5^{7} = - 78125$ $-5^7=-78125$

Gather like terms.

$2 \times 4 \times - 78125 \times x^{8} \times x^{5}$ $2xx4xx-78125xxx^8xxx^5$

Apply exponent rule $a^{m} \times a^{n} = a^{m + n}$ $a^mxxa^n=a^(m+n)$

$2 \times 4 \times - 78125 \times x^{(5 + 8)}$ $2xx4xx-78125xxx^((5+8))$

Simplify.

$8 \times - 78125 \times x^{13}$ $8xx-78125xxx^13$

Simplify.

$- 625000 x^{13}$ $-625000x^13$

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