Simplifying Rational Expressions Answers
Simplify each expression.
Question text not available
The exponent on z is [___].
4
x4 is in the [___].
numerator
y14 is in the [___].
numerator
z4 is in the [___].
numerator
Simplify each expression.
The exponent on x is [___].
4
Describe how you would simplify the given expression.
Simplify inside the parentheses by dividing coefficients, subtracting the exponents on like bases, and raising the resulting expression to the –3 power. Then, write bases with positive exponents. Equivalently, raise the numerator and denominator to the –3 power, multiply exponents using the power of a power property, divide coefficients, subtract exponents on like bases, and write with positive exponents. The simplified expression is y^15/(64x^24).
Simplify. Express the answers using positive exponents.
Question text not available
Type "numerator" or "denominator" to complete each statement.
Examine Tamika’s work below. What is Tamika’s error?
Simplify. Express the answers using positive exponents.
Simplify each expression.
Simplify each expression.
The exponent on x is [___].
4
x4 is in the [___].
numerator
Examine Tamika’s work below. What is Tamika’s error?
Describe how you would simplify the given expression.
To simplify the expression, first simplify inside the parentheses by dividing the coefficients (20/5 = 4) and subtracting the exponents for each base (5 - (-3) = 8 for x, and 2 - 7 = -5 for y), which results in 4x^8y^-5. Next, raise the resulting expression to the -3 power by multiplying the exponents (8 * -3 = -24 and -5 * -3 = 15). Finally, rewrite the expression using positive exponents. Alternatively, you could first raise the numerator and denominator to the -3 power using the power of a power property, then divide coefficients and subtract exponents.
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