(5a^3b^4)2
would it be:
10a^6b^8
five squared is 25, and three squared is nine, not ten and six.
Sorry!I always forget!LOL!
(5a^3b^4)^2 =
5^2 (a^3)^2 (b^4)^2 =
25 a^6 b^8
To simplify the expression (5a^3b^4)^2, you need to apply the power rule, which states that when you raise a power to another power, you need to multiply the exponents. Here's a step-by-step breakdown:
Step 1: Square the base - In this case, we square the entire expression (5a^3b^4).
So, (5a^3b^4)^2 = (5a^3b^4) x (5a^3b^4).
Step 2: Apply the power rule to each term within the expression.
Square 5: 5 x 5 = 25.
Square a^3: (a^3)^2 = a^(3x2) = a^6 (multiply exponents).
Square b^4: (b^4)^2 = b^(4x2) = b^8 (multiply exponents).
Putting it all together, the simplified expression is:
25a^6b^8.