Thank you for visiting Evaluate the fraction with tex 5 7 times 5 2 tex in the numerator and tex 5 5 tex in the denominator A 625 B. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
The value of the fraction (-5^7 * (-5^2)) / (-5^5) is -625. Among the provided options, -625 is the correct value. To evaluate the expression, we apply the rules of exponents. In the numerator, we multiply -5 raised to the seventh power by -5 raised to the second power, which results in -5 raised to the ninth power. In the denominator, we have -5 raised to the fifth power. Finally, we simplify the fraction to find the value.
To evaluate the fraction (-5^7 * (-5^2)) / (-5^5), we first apply the rules of exponents. In the numerator, we multiply -5 raised to the seventh power by -5 raised to the second power:
(-5^7 * (-5^2)) = -5^9.
In the denominator, we have -5 raised to the fifth power:
(-5^5).
Now, we can rewrite the fraction:
(-5^9) / (-5^5).
Next, we use the rule that states when dividing like bases with different exponents, we subtract the exponents:
-5^(9 - 5) = -5^4.
Finally, we calculate the value of -5^4:
-5^4 = -625.
Therefore, the value of the fraction (-5^7 * (-5^2)) / (-5^5) is -625.
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