Find the numerical equivalent of 7² x 7³
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.
Find the numerical equivalent of 3⁹ x 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.
Which expression is correctly developed to use the product rule of exponents?
A. 10⁸ x 10⁸
B. 6² x 7³
C. 32⁷
D. (5²)⁹
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.
To find the numerical equivalent of 7² x 7³, we first need to calculate each exponent:
7² = 7 x 7 = 49
7³ = 7 x 7 x 7 = 343
Now, we multiply the two results:
49 x 343 = 16,807
Therefore, the numerical equivalent of 7² x 7³ is 16,807.
To find the numerical equivalent of 7² x 7³, you need to calculate the value of each exponent separately and then multiply the results.
Step 1: Evaluate 7²
To find 7², simply multiply 7 by itself:
7² = 7 x 7 = 49
Step 2: Evaluate 7³
To find 7³, multiply 7 by itself twice:
7³ = 7 x 7 x 7 = 343
Step 3: Multiply the results
Now, multiply the results of Step 1 and Step 2:
49 x 343 = 16,807
Therefore, the numerical equivalent of 7² x 7³ is 16,807.