What is factor sqrt(7500x^{15)} ?

The solution to factor sqrt(7500x^{15)} is 50sqrt(3)x^7sqrt(x)

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factor sqrt(7500x^{15)}

factor

7500 x^{15}

503 x^{7} x

Solution steps

7500 x^{15}

Apply radical rule:

assuming

a \geq 0, b \geq 0

= 7500 x^{15}

7500 = 503

= 503 x^{15}

Apply exponent rule:

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

= 503 x^{14} x^{1}

Apply radical rule:

a \cdot b = a b

= 503 x^{14} x^{1}

Apply exponent rule:

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

x^{14} = x^{7 \cdot 2} = (x^{7})^{2}

= 503 (x^{7})^{2} x^{1}

Apply radical rule:

assuming

a \geq 0

(x^{7})^{2} = x^{7}

= 503 x^{7} x^{1}

Apply rule

a^{1} = a

x^{1} = x

= 503 x^{7} x

- (sin (x))

sec (10 t - 25)

cos (h) (a t) cos (a t)

324 1_{(5)} \cdot 12 3_{(5)}

2^{m - 5} + 2^{n - 5}

What is factor sqrt(7500x^{15)} ?
The solution to factor sqrt(7500x^{15)} is 50sqrt(3)x^7sqrt(x)