Question

Use the Product Rule of Exponents to simplify the expression 3^8 ⋅3^3

Answer 1

Use the Product Rule of Exponents to simplify the expression 7^5 ⋅7^2.

Answer 2

Find the numerical equivalent of 7^2⋅7^3

Answer 3

Find the numerical equivalent of 3^9⋅3^−5

Answer 4

Use the Product Rule of Exponents to simplify the expression 3^8 ⋅3^3

Answer 5

Use the Product Rule of Exponents to simplify the expression 75 ⋅72

Answer 6

Use the Product Rule of Exponents to simplify the expression 7^5 ⋅7^2

Answer 7

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Answer 8

The Product Rule of Exponents states that when multiplying two exponential expressions with equal bases, you can add their exponents.

Therefore, applying the product rule of exponents to the expression 3^8 ⋅ 3^3, we have:

3^8 ⋅ 3^3 = 3^(8+3) = 3^11

So, the simplified expression is 3^11.

Answer 9

The Product Rule of Exponents states that when multiplying two exponential expressions with equal bases, you can add their exponents.

So, applying the product rule of exponents to the expression 7^5 ⋅ 7^2, we have:

7^5 ⋅ 7^2 = 7^(5+2) = 7^7

Thus, the simplified expression is 7^7.

Answer 10

To find the numerical equivalent of an expression like 7^2 ⋅ 7^3, we can simply perform the calculation using the same base and exponent rules.

7^2 ⋅ 7^3 = (7 * 7) ⋅ (7 * 7 * 7) = 49 ⋅ 343 = 16807

Therefore, the numerical equivalent of 7^2 ⋅ 7^3 is 16807.

Answer 11

To find the numerical equivalent of an expression like 3^9⋅3^(-5), we can use the rule that states when multiplying two exponential expressions with the same base, we can add their exponents.

3^9⋅3^(-5) = 3^(9+(-5)) = 3^4

Therefore, the numerical equivalent of 3^9⋅3^(-5) is 3^4, which is equal to 81.