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Simplify each expression, if possible.$$\left(\frac{s^{5} s^{6}}{s^{2} s^{2}}\right)^{4}$$
$s^{28}$
Algebra
Chapter 5
Exponents and Polynomials
Section 1
Rules for Exponents
Polynomials
Oregon State University
McMaster University
University of Michigan - Ann Arbor
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We need to simplify the given expression. The given expression is s power 5 into s; power 6 divided by s square into s; square; the whole power 4. We know that the product rule for exponents states that a poem into a power can be written as a power plus m using the product rule in the numerator and denominator. We get s power, 5, plus 6, larnt by s; power 2 plus 2, raised to power 4. So, on simplifying this, we get s. Power 11, divided by s, power 4 raised to power 4 point. We know that the question true for exponents states that a poem divided by a power can be written as a over m minus n, so using the quotient rule to simplify further, we get s power 11 minus 4 raised to power 4. On simplifying this. We get s over 7 raised to power 4. We know that the power rule for exponents states that if a poem is raised to power, then it can be written as over m into n. So we get keeping the common base. Let us multiply the exponents and on simplifying this, we get s covered 28 point. Hence the solution is so 28.
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