What is (4hsqrt(hk^2))(4ksqrt(50h^2k)) ?

The solution to (4hsqrt(hk^2))(4ksqrt(50h^2k)) is 80sqrt(2)h^2k^2sqrt(h)sqrt(k)

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simplify (4hsqrt(hk^2))(4ksqrt(50h^2k))

simplify

(4 h h k^{2}) (4 k 50 h^{2} k)

802 h^{2} k^{2} h k

Solution steps

(4 h h k^{2}) (4 k 50 h^{2} k)

Simplify

4 h h k^{2} : 4 hk h

= 4 hk h \cdot 4 k 50 h^{2} k

Simplify

50 h^{2} k : 52 h k

= 4 hk h \cdot 4 k \cdot 52 h k

Multiply the numbers:

4 \cdot 4 \cdot 5 = 80

= 80 hk h k 2 h k

Apply exponent rule:

aa = a^{2}

hh = h^{2}

= 80 h^{2} k h k 2 k

Apply exponent rule:

aa = a^{2}

kk = k^{2}

= 80 h^{2} k^{2} h 2 k

= 802 h^{2} k^{2} h k

- 6 e^{- 2 (0)}

(3 x 1 0^{5}) x (2 x 1 0^{6})

\frac{- 18}{9}

What is (4hsqrt(hk^2))(4ksqrt(50h^2k)) ?
The solution to (4hsqrt(hk^2))(4ksqrt(50h^2k)) is 80sqrt(2)h^2k^2sqrt(h)sqrt(k)