Simplify the expression and eliminate any negative exponent(s). Assume that all letters denote positive numbers.

Question

Simplify the expression and eliminate any negative exponent(s). Assume that all letters denote positive numbers. 4yy

Answer 1

First, lets represent the square root as a fractional exponent (1/2) ==> 4y^1/2y^1/2

The equation is stating (4) x (y^1/2) x (y^1/2). When multiplying exponents of like terms, we keep the base and simply add the exponents. ==> 4y^1/2y^1/2 = 4(y^1/2+1/2) = 4y^2/2 = 4y

We cannot simplify this any further, therefore the answer is 4y.

Answer 2

The fourth root of y times the square root of y.

the fourth root of y to the first times y to the one half power. That becomes the fourth root of y to the 3/2 power. ( y^(3/2) ) ^(1/4) multiply exponents you get

y^( 3/8) or the eighth root of y to the third power

Answer 3

Rewrite as rational exponents

4y^1/2y^1/2 Multiplication of exponents with the same base means you add them

4y^1/2+1/2 Simplify

4y