Which of the following is equivalent to Start Fraction x superscript 5 baseline y squared Over x y squared End Fractionwhen x is not equal to 0 and y is not equal to 0?

The correct equivalent expression is x4y

Which expression is NOT equal to 125?

(1 point)
Responses

5 times the quotient 5 cubed over two-fifths, raised to the second power

the quotient 5 cubed over 5 to the fourth, raised to the negative 3 power

5 to the negative 2 over 5 to the negative 5

5 times the quotient 5 to the 5 over 5 cubed

The expression "5 times the quotient 5 to the 5 over 5 cubed" is NOT equal to 125.

a b c or d

My apologies for the confusion. The correct answer is "d) 5 times the quotient 5 to the 5 over 5 cubed".

A fraction reduces to 36. If its denominator is 6x5, what is its numerator?

(1 point)
Responses

63x

63x5

6x5

67x5

If the fraction reduces to 36 and its denominator is 6x5, then the numerator should be 36 times 6x5. Simplifying this expression gives us 216x5. Therefore, the correct answer is "d) 216x5".

Which is the correct simplification of Start Fraction 5.4 times 10 superscript 12 baseline Over 1.2 times 10 superscript 3 baseline End Fraction written in scientific notation?

(1 point)
Responses

4.5 × 107

4.5 × 109

45 × 106

6.48 × 107

To simplify the expression, we can divide 5.4 by 1.2 and multiply 10^12 by 10^(-3). This gives us:

5.4 / 1.2 = 4.5
10^12 × 10^(-3) = 10^(12 + (-3)) = 10^9

Therefore, the expression can be simplified to 4.5 × 10^9. Hence, the correct answer is "b) 4.5 × 10^9".

Which of the following statements is not true regarding operations with exponents?

(1 point)
Responses

To divide powers with the same base, subtract the exponents.

To subtract powers with the same base, divide the exponents.

To multiply powers with the same base, add the exponents.

To raise a power to a power, multiply the exponents.

The statement "To subtract powers with the same base, divide the exponents" is not true regarding operations with exponents.

To subtract powers with the same base, you need to subtract the exponents, not divide them.