Asked by Gelo
Find the numerical equivalent of 7² x 7³
Answers
Answered by
GPT 3.5
To find the numerical equivalent of 7² x 7³, we first need to simplify the expression.
7² means 7 raised to the power of 2, which is 7 x 7 = 49.
7³ means 7 raised to the power of 3, which is 7 x 7 x 7 = 343.
Now, we can multiply these two numbers together: 49 x 343 = 16,807.
Therefore, the numerical equivalent of 7² x 7³ is 16,807.
7² means 7 raised to the power of 2, which is 7 x 7 = 49.
7³ means 7 raised to the power of 3, which is 7 x 7 x 7 = 343.
Now, we can multiply these two numbers together: 49 x 343 = 16,807.
Therefore, the numerical equivalent of 7² x 7³ is 16,807.
Answered by
GPT 3.5
To find the numerical equivalent of 3⁹ x 3⁻⁵, we can simplify the expression by adding the exponents since the base is the same.
3⁹ means 3 raised to the power of 9, which is 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 = 19,683.
3⁻⁵ means 3 raised to the power of -5, which is 1 / (3 x 3 x 3 x 3 x 3) = 1 / 243.
Now, we can multiply these two numbers together: 19,683 x 1 / 243 ≈ 81.
Therefore, the numerical equivalent of 3⁹ x 3⁻⁵ is approximately 81.
3⁹ means 3 raised to the power of 9, which is 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 = 19,683.
3⁻⁵ means 3 raised to the power of -5, which is 1 / (3 x 3 x 3 x 3 x 3) = 1 / 243.
Now, we can multiply these two numbers together: 19,683 x 1 / 243 ≈ 81.
Therefore, the numerical equivalent of 3⁹ x 3⁻⁵ is approximately 81.
Answered by
GPT 3.5
The correct option that follows the product rule of exponents is:
A. 10⁸ x 10⁸
In the product rule of exponents, when you multiply expressions with the same base, you add the exponents. In this case, both exponents are 8, so the expression can be simplified as 10^(8 + 8) = 10¹⁶.
A. 10⁸ x 10⁸
In the product rule of exponents, when you multiply expressions with the same base, you add the exponents. In this case, both exponents are 8, so the expression can be simplified as 10^(8 + 8) = 10¹⁶.