Question

Rewrite the expression in the form yⁿ.

3√y² = ___
y⁴/⁵

Answer 1

To rewrite the expression 3√y² in the form yⁿ, we need to use the property of fractional exponents. We can rewrite the cube root of y² as (y²)^(1/3). Then, we can apply the rule that when we raise a power to another power, we multiply the exponents. So (y²)^(1/3) becomes y^(2/3). Therefore, the expression 3√y² can be rewritten as y^(2/3).

Step-by-step explanation:

To rewrite the expression 3√y² in the form yⁿ, we need to use the property of fractional exponents. We can rewrite the cube root of y² as (y²)^(1/3). Then, we can apply the rule that when we raise a power to another power, we multiply the exponents. So (y²)^(1/3) becomes y^(2/3).

Therefore, the expression 3√y² can be rewritten as y^(2/3).