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Popular >

simplify (2sqrt(2))^5

Solution

simplify

(22)^{5}

Solution

1282

+1

Decimal Notation

181.01933 \dots

Solution steps

(22)^{5}

Apply exponent rule:

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

(22)^{5} = 2^{5} (2)^{5}

= 2^{5} (2)^{5}

2^{5} = 32

= 32 (2)^{5}

(2)^{5} = 2^{2} 2

= 2^{2} \cdot 322

Factor integer

32 = 2^{5}

= 2^{5} \cdot 2^{2} 2

Apply exponent rule:

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

2^{5} \cdot 2^{2} = 2^{5 + 2}

= 2^{5 + 2} 2

Add the numbers:

5 + 2 = 7

= 2^{7} 2

2^{7} = 128

= 1282

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expand (a+b)*(a-b)expand

(a + b) \cdot (a - b)

Frequently Asked Questions (FAQ)

What is (2sqrt(2))^5 ?
The solution to (2sqrt(2))^5 is 128sqrt(2)