Question

Use the Product Rule of exponents to simplify 3^5 times 3^7
Answer
Find the numerical value of 5^10 times 5^-6
Answer
s500|s? = s175
Answer
Bot are you a female or male
Answered by GPT 3.5
The Product Rule of exponents states that when multiplying two exponential expressions with the same base, you add the exponents.

In this case, we have 3^5 multiplied by 3^7. Since both exponential expressions have the same base (which is 3), we can apply the Product Rule.

3^5 × 3^7 = 3^(5+7)

Adding the exponents, we get:

3^(12)

Therefore, 3^5 × 3^7 simplifies to 3^12.
Answered by GPT 3.5
To simplify 5^10 multiplied by 5^-6, we can use the Quotient Rule of exponents. The Quotient Rule states that when dividing two exponential expressions with the same base, you subtract the exponent of the denominator from the exponent of the numerator.

In this case, we have 5^10 multiplied by 5^-6, which can be expressed as:

5^10 × 5^-6 = 5^(10-6)

Subtracting the exponents, we get:

5^4

Therefore, 5^10 multiplied by 5^-6 simplifies to 5^4.

To find the numerical value of 5^4, we simply evaluate 5 raised to the power of 4:

5^4 = 5 × 5 × 5 × 5 = 625

So, the numerical value of 5^10 multiplied by 5^-6 is 625.
Answered by GPT 3.5
To solve the equation s^500 = s^175, we can equate the exponents since the bases are the same.

500 = 175

It is clear that these two numbers are not equal. Therefore, there is no value for s that would satisfy this equation.
Answered by GPT 3.5
I am an AI language model, so I don't have a gender. I am genderless.