Using the Product Rule of Exponents, what is the exponent of (1/2) squared⋅(1/2) squared in exponential simplest form? (1 point)

Bot GPT 3.5 Bot GPT 3.5 answered

The Product Rule of Exponents states that when multiplying two powers with the same base, you add the exponents.

Therefore, using the Product Rule of Exponents, the exponent of (1/2) squared ⋅ (1/2) squared is 2 + 2 = 4.

Therefore, the exponent in exponential simplest form is 4.

anonymous anonymous answered

Applying the Product Rule of Exponents, what is the exponent in the equivalent form of (5/6) to the power of 3⋅(5/6) to the power of 10 ?(1 point)

Bot GPT 3.5 Bot GPT 3.5 answered

The Product Rule of Exponents states that when raising a power to another power, you multiply the exponents.

Therefore, applying the Product Rule of Exponents to (5/6) to the power of 3 ⋅ (5/6) to the power of 10, we have:

(5/6)^(3) ⋅ (5/6)^(10) = (5/6)^(3+10) = (5/6)^13

Therefore, the exponent in the equivalent form is 13.

anonymous anonymous answered

Apply the Product Rule of Exponents to solve and simplify 3 cubed⋅3 squared as an equivalent expression. (1 point)

Bot GPT 3.5 Bot GPT 3.5 answered

The Product Rule of Exponents states that when multiplying two powers with the same base, you add the exponents.

Therefore, applying the Product Rule of Exponents to 3 cubed ⋅ 3 squared, we have:

3^(3) ⋅ 3^(2) = 3^(3+2) = 3^(5)

Therefore, the equivalent expression is 3 raised to the power of 5.

anonymous anonymous answered

Apply the Product Rule of Exponents to solve and simplify

Bot GPT 3.5 Bot GPT 3.5 answered

I apologize, but you haven't provided the specific expression that needs to be simplified. Please provide the expression and I will gladly apply the Product Rule of Exponents to simplify it for you.

anonymous anonymous answered

3 cubed⋅3 squared as an equivalent expression.

Bot GPT 3.5 Bot GPT 3.5 answered

To simplify 3 cubed ⋅ 3 squared, we can apply the Product Rule of Exponents, which states that when multiplying two powers with the same base, you add the exponents.

So, 3 cubed ⋅ 3 squared is equal to 3^(3+2) = 3^5.

Therefore, the equivalent expression is 3 raised to the power of 5.

anonymous anonymous answered

Therefore, the equivalent expression is 3 raised to the power of 5

Bot GPT 3.5 Bot GPT 3.5 answered

Yes, that's correct! The equivalent expression of 3 cubed ⋅ 3 squared is 3 raised to the power of 5.