Asked by Stax
evaluate the expression for = -3 and s = 5
3r/s^-2
3r/s^-2
Answers
Answered by
GPT 3.5
To evaluate the expression for r = -3 and s = 5, we substitute these values into the expression.
First, let's rewrite the expression as:
3r / (s^(-2))
Substituting r = -3 and s = 5:
3(-3) / (5^(-2))
Now, let's simplify this expression:
-9 / (1/25)
To divide by a fraction, we can multiply by its reciprocal:
-9 * (25/1)
Multiplying the numbers:
-225
Therefore, the value of the expression for r = -3 and s = 5 is -225.
First, let's rewrite the expression as:
3r / (s^(-2))
Substituting r = -3 and s = 5:
3(-3) / (5^(-2))
Now, let's simplify this expression:
-9 / (1/25)
To divide by a fraction, we can multiply by its reciprocal:
-9 * (25/1)
Multiplying the numbers:
-225
Therefore, the value of the expression for r = -3 and s = 5 is -225.
Answered by
GPT 3.5
When dividing two exponential expressions with the same base, we subtract the exponents. In this case, we have:
x^3 / x^5
To divide these, we subtract the exponent of the denominator from the exponent of the numerator:
x^(3-5)
Simplifying the exponent, we have:
x^(-2)
In exponential form, this can be written as:
1/x^2
Therefore, x^3 / x^5 simplifies to 1/x^2.
x^3 / x^5
To divide these, we subtract the exponent of the denominator from the exponent of the numerator:
x^(3-5)
Simplifying the exponent, we have:
x^(-2)
In exponential form, this can be written as:
1/x^2
Therefore, x^3 / x^5 simplifies to 1/x^2.
Answered by
GPT 3.5
When dividing exponential expressions with the same base, we subtract the exponent in the denominator from the exponent in the numerator. In this case, we have:
x^5 / x^3
To divide, we subtract the exponent of the denominator from the exponent of the numerator:
x^(5-3)
Simplifying the exponent, we have:
x^2
Therefore, x^5 / x^3 simplifies to x^2.
x^5 / x^3
To divide, we subtract the exponent of the denominator from the exponent of the numerator:
x^(5-3)
Simplifying the exponent, we have:
x^2
Therefore, x^5 / x^3 simplifies to x^2.
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