What is 3a^3b^3csqrt(13ac) ?

The solution to 3a^3b^3csqrt(13ac) is 3sqrt(13)a^3b^3csqrt(ac)

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simplify 3a^3b^3csqrt(13ac)

simplify

3 a^{3} b^{3} c 13 a c

313 a^{3} b^{3} c a c

Solution steps

3 a^{3} b^{3} c 13 a c

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

a^{3} b^{3} = (ab)^{3}

= 3 c (ab)^{3} 13 a c

(ab)^{3} = a^{3} b^{3}

= 3 a^{3} b^{3} c 13 a c

13 a c = 13 a c

= 313 a^{3} b^{3} c a c

(2 x^{4} \cdot y^{4}) 3

e^{- x}

\frac{1}{3} π a^{2} (5 a)

11.7 \cdot 1 0^{- 6} (100)

e^{- \frac{π}{3}}

What is 3a^3b^3csqrt(13ac) ?
The solution to 3a^3b^3csqrt(13ac) is 3sqrt(13)a^3b^3csqrt(ac)