Question
Find the value of 83×113.
- 681472
- 88
- 12321
- 64
Hint:
In this question, the rule of 'when the bases are different and the powers are the same' will be applicable..
The correct answer is: 681472
83 × 113 = (8×11)3
= 883
= 681472
When two terms with exponents are multiplied, it is called multiplying exponents. When multiplying exponents with different bases and the same powers, the bases are multiplied first.
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)
Find the solution to this system of equations.
![](data:image/png;base64,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)
Identify the equation of this line.![](data:image/png;base64,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)
Identify the equation of this line.![](data:image/png;base64,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)
The function that best models the data set given.
![](data:image/png;base64,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)
An exponential function is a mathematical function of the following form: f ( x ) = a^x, where x is a variable, and a is a constant called the base of the function.
The function that best models the data set given.
![](data:image/png;base64,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)
An exponential function is a mathematical function of the following form: f ( x ) = a^x, where x is a variable, and a is a constant called the base of the function.
Write a quadratic function for the maximum height, if the initial velocity is 150
, the initial height is 30 ft.
We have, h = ut - 1/2gt².
Write a quadratic function for the maximum height, if the initial velocity is 150
, the initial height is 30 ft.
We have, h = ut - 1/2gt².
Determine the coefficient of the x5y7 term in the polynomial expansion of (m + n)12.
Determine the coefficient of the x5y7 term in the polynomial expansion of (m + n)12.
Find the first four terms of the expansion .
Find the first four terms of the expansion .
If the general term is 91C2 x89, what is the expansion?
If the general term is 91C2 x89, what is the expansion?
Use polynomial identities to factor each polynomial.
Use polynomial identities to factor each polynomial.
What is the fourth term of (x – 5y)96?
What is the fourth term of (x – 5y)96?
Find the coefficient of x8 in the expansion of (x + 2)11.
Find the coefficient of x8 in the expansion of (x + 2)11.