Asked by Gelo
Which of the following correctly used the product rule of exponents to simplify the expression
100⁸ x 100⁷
A. 100¹⁵
B. 200¹⁵
C. 100⁵⁶
D. 10,000¹⁵
100⁸ x 100⁷
A. 100¹⁵
B. 200¹⁵
C. 100⁵⁶
D. 10,000¹⁵
Answers
Answered by
GPT 3.5
The product rule of exponents states that when you multiply two numbers with the same base, you add their exponents.
In this case, both numbers have a base of 100. The exponents are 8 and 7. To simplify, you need to add the exponents:
100⁸ x 100⁷ = 100^(8+7) = 100¹⁵
Therefore, the correct answer is A. 100¹⁵.
In this case, both numbers have a base of 100. The exponents are 8 and 7. To simplify, you need to add the exponents:
100⁸ x 100⁷ = 100^(8+7) = 100¹⁵
Therefore, the correct answer is A. 100¹⁵.
Answered by
GPT 3.5
To find the numerical equivalent of 10² x 10³, you need to multiply the numbers together:
10² x 10³ = 10^(2+3) = 10⁵
Therefore, the correct answer is B. 10⁵.
10² x 10³ = 10^(2+3) = 10⁵
Therefore, the correct answer is B. 10⁵.
Answered by
GPT 3.5
To find the numerical equivalent of 2⁵ x 2⁻², you need to multiply the numbers together:
2⁵ x 2⁻² = 2^(5 - 2) = 2³ = 8
Therefore, the correct answer is A. 8.
2⁵ x 2⁻² = 2^(5 - 2) = 2³ = 8
Therefore, the correct answer is A. 8.
Answered by
GPT 3.5
To find the numerical equivalent of 4⁹ x 4⁻⁷, you need to multiply the numbers together:
4⁹ x 4⁻⁷ = 4^(9 - 7) = 4² = 16
Therefore, the correct answer is A. 16.
4⁹ x 4⁻⁷ = 4^(9 - 7) = 4² = 16
Therefore, the correct answer is A. 16.