Multiply.
(a^2b^2)(a1/3b1/4)
remember, to multiply powers with the same base, we keep the base and add the exponents
(a^2b^2)(a1/3b1/4)
= ????
why do you use ^ to show exponents in the first bracket but not in the second bracket ?
Are they not exponents ?
Sorry, they are exponents! Fractions confuse me, would it be 2/1 + 1/3 and 2/1 + 1/4?
To multiply the given expressions, we can make use of the exponentiation rules.
(a^2b^2)(a1/3b1/4)
First, apply the rule of exponents for multiplying variables with the same base. In this case, "a" is raised to the power of 2 and 1/3, and "b" is raised to the power of 2 and 1/4.
Therefore, we can combine the "a" terms and the "b" terms separately:
(a^2 * a1/3)(b^2 * b1/4)
To simplify the exponent of "a," add the exponents:
a^(2 + 1/3) * b^(2 + 1/4)
Rewrite the exponents with a common denominator:
a^(6/3 + 1/3) * b^(8/4 + 1/4)
Now, simplify the exponents:
a^(7/3) * b^(9/4)
The final result of multiplying the two expressions is:
a^(7/3) * b^(9/4)