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Popular >

simplify (4r^0)^4

Solution

simplify

(4 r^{0})^{4}

Solution

256

Solution steps

(4 r^{0})^{4}

Apply exponent rule:

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

(4 r^{0})^{4} = 4^{4} (r^{0})^{4}

= 4^{4} (r^{0})^{4}

4^{4} = 256

= 256 (r^{0})^{4}

Apply exponent rule:

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

assuming

a \geq 0

(r^{0})^{4} = r^{0 \cdot 4}

= 256 r^{0 \cdot 4}

Apply rule

0 \cdot a = 0

= 256 r^{0}

Apply exponent rule:

a^{0} = 1,

assuming

a \neq = 0

r^{0} = 1

= 256 \cdot 1

Multiply the numbers:

256 \cdot 1 = 256

= 256

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Frequently Asked Questions (FAQ)

What is (4r^0)^4 ?
The solution to (4r^0)^4 is 256