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Popular >

simplify a^0b^1c^0d^1e^0f^2g^4

Solution

simplify

a^{0} b^{1} c^{0} d^{1} e^{0} f^{2} g^{4}

Solution

b d f^{2} g^{4}

Solution steps

a^{0} b^{1} c^{0} d^{1} e^{0} f^{2} g^{4}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

a^{0} c^{0} = (a c)^{0}

= e^{0} b^{1} d^{1} f^{2} g^{4} (a c)^{0}

Apply rule

a^{0} = 1, a \neq = 0

(a c)^{0} = 1, e^{0} = 1

= 1 \cdot 1 \cdot b^{1} d^{1} f^{2} g^{4}

Apply rule

a^{1} = a

b^{1} = b, d^{1} = d

= 1 \cdot 1 \cdot b d f^{2} g^{4}

Multiply:

1 \cdot b d \cdot 1 \cdot f^{2} g^{4} = b d f^{2} g^{4}

= b d f^{2} g^{4}

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Frequently Asked Questions (FAQ)

What is a^0b^1c^0d^1e^0f^2g^4 ?
The solution to a^0b^1c^0d^1e^0f^2g^4 is bdf^2g^4