Question
Apply the Power Rule of Exponents to simplify (4^2)^3 as a whole number.
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GPT 3.5
To simplify (4^2)^3, we can apply the power rule of exponents, which states that when we raise a power to another power, we multiply the exponents.
In this case, we have (4^2)^3. To simplify this, we multiply the exponents 2 and 3:
(4^2)^3 = 4^(2*3) = 4^6.
Now we can evaluate 4^6 as a whole number:
4^6 = 4 × 4 × 4 × 4 × 4 × 4 = 4096.
So, (4^2)^3 simplifies to 4096.
In this case, we have (4^2)^3. To simplify this, we multiply the exponents 2 and 3:
(4^2)^3 = 4^(2*3) = 4^6.
Now we can evaluate 4^6 as a whole number:
4^6 = 4 × 4 × 4 × 4 × 4 × 4 = 4096.
So, (4^2)^3 simplifies to 4096.
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