Hi - please help me with this one:
(5b^2c^1/4)^3
is the answer: 125b^6 3c ^ 3/4
correct.
Thank you Sir.
To simplify the expression (5b^2c^1/4)^3, we need to apply the exponent to each term inside the parentheses. Let's break it down step by step:
Step 1: Apply the exponent to each term inside the parentheses:
For the base 5, we have 5^3 = 5 * 5 * 5 = 125.
For the base b^2, we have (b^2)^3 = b^2 * b^2 * b^2 = b^(2+2+2) = b^6.
For the base c^1/4, we have (c^1/4)^3 = c^1/4 * c^1/4 * c^1/4 = c^(1/4 + 1/4 + 1/4) = c^(3/4).
Step 2: Combine the simplified terms:
Putting everything together, we have the simplified expression:
(5b^2c^1/4)^3 = 125b^6c^3/4.
Therefore, the simplified form of the expression is 125b^6c^3/4.