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Popular >

simplify 28^{3/2}

Solution

simplify

2 8^{\frac{3}{2}}

Solution

56 \cdot 7^{\frac{1}{2}}

+1

Decimal Notation

148.16207 \dots

Solution steps

2 8^{\frac{3}{2}}

Prime factorization of

28 : 2^{2} \cdot 7

= (2^{2} \cdot 7)^{\frac{3}{2}}

Apply exponent rule:

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

(2^{2} \cdot 7)^{\frac{3}{2}} = (2^{2})^{\frac{3}{2}} \cdot 7^{\frac{3}{2}}

= (2^{2})^{\frac{3}{2}} \cdot 7^{\frac{3}{2}}

(2^{2})^{\frac{3}{2}} = 8

= 8 \cdot 7^{\frac{3}{2}}

7^{\frac{3}{2}} = 7 \cdot 7^{\frac{1}{2}}

= 8 \cdot 7 \cdot 7^{\frac{1}{2}}

Multiply the numbers:

8 \cdot 7 = 56

= 56 \cdot 7^{\frac{1}{2}}

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Frequently Asked Questions (FAQ)

What is 28^{3/2} ?
The solution to 28^{3/2} is 56*7^{1/2}