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Popular >

simplify (3b^0)^3

Solution

simplify

(3 b^{0})^{3}

Solution

27

Solution steps

(3 b^{0})^{3}

Apply exponent rule:

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

(3 b^{0})^{3} = 3^{3} (b^{0})^{3}

= 3^{3} (b^{0})^{3}

3^{3} = 27

= 27 (b^{0})^{3}

Apply exponent rule:

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

assuming

a \geq 0

(b^{0})^{3} = b^{0 \cdot 3}

= 27 b^{0 \cdot 3}

Apply rule

0 \cdot a = 0

= 27 b^{0}

Apply exponent rule:

a^{0} = 1,

assuming

a \neq = 0

b^{0} = 1

= 27 \cdot 1

Multiply the numbers:

27 \cdot 1 = 27

= 27

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Frequently Asked Questions (FAQ)

What is (3b^0)^3 ?
The solution to (3b^0)^3 is 27