What is 25abcdsqrt(36a^6)b^5c^4d^3e^2f ?

The solution to 25abcdsqrt(36a^6)b^5c^4d^3e^2f is 150e^2a^4b^6c^5d^4f

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simplify 25abcdsqrt(36a^6)b^5c^4d^3e^2f

simplify

25 ab c d 36 a^{6} b^{5} c^{4} d^{3} e^{2} f

150 e^{2} a^{4} b^{6} c^{5} d^{4} f

Solution steps

25 ab c d 36 a^{6} b^{5} c^{4} d^{3} e^{2} f

Apply exponent rule:

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

b b^{5} = b^{1 + 5}

= 25 a c d 36 a^{6} b^{1 + 5} c^{4} d^{3} e^{2} f

Add the numbers:

1 + 5 = 6

= 25 a c d 36 a^{6} b^{6} c^{4} d^{3} e^{2} f

Apply exponent rule:

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

c c^{4} = c^{1 + 4}

= 25 a d 36 a^{6} b^{6} c^{1 + 4} d^{3} e^{2} f

Add the numbers:

1 + 4 = 5

= 25 a d 36 a^{6} b^{6} c^{5} d^{3} e^{2} f

Apply exponent rule:

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

d d^{3} = d^{1 + 3}

= 25 a 36 a^{6} b^{6} c^{5} d^{1 + 3} e^{2} f

Add the numbers:

1 + 3 = 4

= 25 a 36 a^{6} b^{6} c^{5} d^{4} e^{2} f

36 a^{6} : 36 a^{3}

= 25 a 36 a^{3} b^{6} c^{5} d^{4} e^{2} f

Apply exponent rule:

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

a a^{3} = a^{1 + 3}

= 2536 a^{1 + 3} b^{6} c^{5} d^{4} e^{2} f

Add the numbers:

1 + 3 = 4

= 2536 a^{4} b^{6} c^{5} d^{4} e^{2} f

36 = 6

= 25 \cdot 6 e^{2} a^{4} b^{6} c^{5} d^{4} f

Multiply the numbers:

25 \cdot 6 = 150

= 150 e^{2} a^{4} b^{6} c^{5} d^{4} f

e^{- 5.39456}

e^{- 2.92646}

(2 + x^{2})^{\frac{1}{2}} (1 + (2 + x^{2})^{\frac{1}{2}})^{\frac{1}{2}}

\frac{x + 9}{x + 8}

1.2 \cdot e^{- 0.89 s^{- 1} 6}

What is 25abcdsqrt(36a^6)b^5c^4d^3e^2f ?
The solution to 25abcdsqrt(36a^6)b^5c^4d^3e^2f is 150e^2a^4b^6c^5d^4f