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Popular >

simplify (625x^3)^{5/4}

Solution

simplify

(625 x^{3})^{\frac{5}{4}}

Solution

3125 x^{\frac{15}{4}}

Solution steps

(625 x^{3})^{\frac{5}{4}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(625 x^{3})^{\frac{5}{4}} = 62 5^{\frac{5}{4}} (x^{3})^{\frac{5}{4}}

= 62 5^{\frac{5}{4}} (x^{3})^{\frac{5}{4}}

62 5^{\frac{5}{4}} = 3125

= 3125 (x^{3})^{\frac{5}{4}}

Apply exponent rule:

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

assuming

a \geq 0

(x^{3})^{\frac{5}{4}} = x^{3 \cdot \frac{5}{4}}

= 3125 x^{3 \cdot \frac{5}{4}}

3 \cdot \frac{5}{4} = \frac{15}{4}

= 3125 x^{\frac{15}{4}}

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2 (x - 3) + 5 x \leq 9 x - 14

4x+30+8x+90=180

4 x + 30 + 8 x + 90 = 180

Frequently Asked Questions (FAQ)

What is (625x^3)^{5/4} ?
The solution to (625x^3)^{5/4} is 3125x^{15/4}