Exponents and their properties unit test unit for lesson eight question is using the product rule of exponents. What is an equivalent form of one with a small nine on top of it times one with a small eight on top of it what is the base and the exponent?

An equivalent form of the expression "one with a small nine on top of it times one with a small eight on top of it" using the product rule of exponents can be written as 1^9 * 1^8.

The base, in this case, is 1 and the exponents are 9 and 8, respectively.

To find an equivalent form of the expression "one with a small nine on top of it times one with a small eight on top of it," we can apply the product rule of exponents.

The product rule states that when multiplying two numbers with the same base, the exponents should be added together while keeping the base unchanged.

In this case, the base is 1, and the exponents are nine and eight. So, applying the product rule, we add the exponents:

1^9 * 1^8 = 1^(9+8) = 1^17

Therefore, an equivalent form of "one with a small nine on top of it times one with a small eight on top of it" is 1 raised to the power of 17.

The base is 1, and the exponent is 17.

To find an equivalent form using the product rule of exponents for 1^9 * 1^8, we can simply add the exponents since the bases are the same (both are 1).

The product rule states that when multiplying two numbers with the same base, we add the exponents.

So, 1^9 * 1^8 = 1^(9+8) = 1^17.

Therefore, the equivalent form is 1^17, where the base is 1 and the exponent is 17.