What is 8000(4*2^{2/3}-1) ?

The solution to 8000(4*2^{2/3}-1) is 2^{2/3}*32000-8000

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simplify 8000(4*2^{2/3}-1)

simplify

8000 (4 \cdot 2^{\frac{2}{3}} - 1)

2^{\frac{2}{3}} \cdot 32000 - 8000

Decimal Notation

42796.83366 \dots

Solution steps

8000 (4 \cdot 2^{\frac{2}{3}} - 1)

Apply the distributive law:

a (b - c) = ab - a c

8000 (4 \cdot 2^{\frac{2}{3}} - 1) = 8000 \cdot 4 \cdot 2^{\frac{2}{3}} - 8000 \cdot 1

= 8000 \cdot 4 \cdot 2^{\frac{2}{3}} - 8000 \cdot 1

8000 \cdot 4 \cdot 2^{\frac{2}{3}} = 2^{\frac{2}{3}} \cdot 32000

8000 \cdot 1 = 8000

= 2^{\frac{2}{3}} \cdot 32000 - 8000

lo g_{10} (t^{9})

\frac{2 y - 6}{5 ( y ^{2} - 6 y ) ^{\frac{4}{5}}}

10 (lo g_{10} (141) + 12)

cot (x) (\frac{1}{3 cos ( x )} + tan (x))

(sin (x) + x cos (x)) (3 cos (x sin (x)))

What is 8000(4*2^{2/3}-1) ?
The solution to 8000(4*2^{2/3}-1) is 2^{2/3}*32000-8000