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Popular >

simplify 25^{(3/8)^4}

Solution

simplify

2 5^{(\frac{3}{8})^{4}}

Solution

+1

Decimal Notation

1.06572 \dots

Solution steps

2 5^{(\frac{3}{8})^{4}}

(\frac{3}{8})^{4} = \frac{81}{4096}

= 2 5^{\frac{81}{4096}}

Factor the number:

25 = 5^{2}

= (5^{2})^{\frac{81}{4096}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 5^{2 \cdot \frac{81}{4096}}

2 \cdot \frac{81}{4096} = \frac{81}{2048}

= 5^{\frac{81}{2048}}

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Frequently Asked Questions (FAQ)

What is 25^{(3/8)^4} ?
The solution to 25^{(3/8)^4} is \sqrt[2048]{5^{81}}