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Popular >

simplify 5^{3/2}*5^{1/2}

Solution

simplify

5^{\frac{3}{2}} \cdot 5^{\frac{1}{2}}

Solution

25

Solution steps

5^{\frac{3}{2}} \cdot 5^{\frac{1}{2}}

Apply exponent rule:

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

5^{\frac{3}{2}} \cdot 5^{\frac{1}{2}} = 5^{\frac{3}{2} + \frac{1}{2}}

= 5^{\frac{3}{2} + \frac{1}{2}}

\frac{3}{2} + \frac{1}{2} = 2

= 5^{2}

5^{2} = 25

= 25

Popular Examples

[(1/3+3/8)\div (-3/5)]+1

[(\frac{1}{3} + \frac{3}{8}) \div (- \frac{3}{5})] + 1

factor 7x^2+42x-49 factor

7 x^{2} + 42 x - 49

4 m + 6 = 6 m - 4

factor 3x^4+23x^3+62x^2+62x+20 factor

3 x^{4} + 23 x^{3} + 62 x^{2} + 62 x + 20

(t+5)^2-13(t+5)+42=0

(t + 5)^{2} - 13 (t + 5) + 42 = 0

Frequently Asked Questions (FAQ)

What is 5^{3/2}*5^{1/2} ?
The solution to 5^{3/2}*5^{1/2} is 25