Question

Use the properties of exponents to simplify the expression: y^(y3)2

please explain in detail!! ty

Answer 1

because y^3 is raised to the power of two, we will have to multiply the exponents rather than adding them.

By distributing the power of 2, we will get y^2(6).

Because now the exponents are being multiplied, we can just add them to get y^8. The other y has a power of 1, so we'll just add the power of that y as well to get y^9.

summary:

multiply exponents if they are being raised to a power.

add exponents if they are being multiplied, and only add them if they have the same base (in this case, both the bases of the exponents are y, so we can add them)

Answer 2

Simplifying y^(y3)2 using the properties of exponents results in the expression y^6.

Step-by-step explanation:

Here's how we can simplify the expression step-by-step:

Treat y^3 as a single exponent: Remember, anything raised to a power is itself raised to another power according to the following rule: (x^a)^b = x^(a*b). Therefore, y^(y3)2 can be rewritten as y^[(y3)*2].

Simplify the exponent: Multiply the exponents within the parenthesis: y^[(y3)*2] = y^(6).

Final form: Therefore, the simplified expression using the properties of exponents is y^6.

Note: This solution assumes y is a non-zero real number. If y were 0, the expression would be undefined.