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Popular >

simplify (esqrt(8))*(-sqrt(128))

Solution

simplify

(e 8) \cdot (- 128)

Solution

- 32 e

+1

Decimal Notation

- 86.98501 \dots

Solution steps

(e 8) (- 128)

Remove parentheses:

(a) = a

= - e 8128

Factor integer

8 = 2^{3}

= - e 2^{3} 128

Apply exponent rule:

(a^{b})^{c} = a^{b c}

2^{3} = 2^{3 \cdot \frac{1}{2}}

= - e 2^{3 \cdot \frac{1}{2}} 128

Refine

= - e 2^{\frac{3}{2}} 128

Factor integer

128 = 2^{7}

= - e 2^{\frac{3}{2}} 2^{7}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

2^{7} = 2^{7 \cdot \frac{1}{2}}

= - e 2^{\frac{3}{2}} \cdot 2^{7 \cdot \frac{1}{2}}

Refine

= - e 2^{\frac{3}{2}} \cdot 2^{\frac{7}{2}}

Apply exponent rule:

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

2^{\frac{3}{2}} \cdot 2^{\frac{7}{2}} = 2^{\frac{3}{2} + \frac{7}{2}}

= - e 2^{\frac{3}{2} + \frac{7}{2}}

2^{\frac{3}{2} + \frac{7}{2}} = 2^{5}

= - 2^{5} e

2^{5} = 32

= - 32 e

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Frequently Asked Questions (FAQ)

What is (esqrt(8))*(-sqrt(128)) ?
The solution to (esqrt(8))*(-sqrt(128)) is -32e