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Mathematics 19 Online
OpenStudy (keana):

help!!!

OpenStudy (keana):

OpenStudy (anonymous):

Im sorry Im so confused about this question

OpenStudy (keana):

we are supposed to start by using the power rule to evaluate

OpenStudy (malcolmmcswain):

The equation is \[(-3r^2s)^2(-2r^4s^3)^3\] if you can't read it.

OpenStudy (malcolmmcswain):

Sorry first exponent is a 3

OpenStudy (keana):

i can read

OpenStudy (dayakar):

\[=\left( -3 \right)^{2}timesr ^{6}timess ^{2}\times \left( -2 \right) ^{3}\times r^{12}timess ^{9}\]

OpenStudy (dayakar):

here times means multiplication

OpenStudy (anonymous):

Do you need the steps or an answer

OpenStudy (keana):

i need any help possible

OpenStudy (dayakar):

\[=9timesr^{6+12}\times(-8)timess ^{2+9}\]

OpenStudy (anonymous):

\[−72r^{16} s ^{11}\]

OpenStudy (dayakar):

above answer is wrong

OpenStudy (anonymous):

Not really

OpenStudy (dayakar):

\[=-72timesr ^{18}timess ^{11}\]

OpenStudy (anonymous):

Since the power of 2 is even, the result will be positive (3r2s)2(−2r4s3)3 2 Use Distributive Property (Multiplication): (xy)a=xaya 32(r2)2s2(−2r4s3)3 3 Simplify 32 to 9 9(r2)2s2(−2r4s3)3 4 Use Power Rule: (xa)b=xab 9r4s2(−2r4s3)3 5 Since the power of 3 is odd, the result will be negative 9r4s2×−(2r4s3)3 6 Use Distributive Property (Multiplication): (xy)a=xaya 9r4s2×−23(r4)3(s3)3 7 Simplify 23 to 8 9r4s2×−8(r4)3(s3)3 8 Use Power Rule: (xa)b=xab 9r4s2×−8r12(s3)3 9 Use Power Rule: (xa)b=xab 9r4s2×−8r12s9 10 Simplify −9r4s2×8r12s9 11 Gather like terms −9×8r4r12s2s9 12 Use Product Rule: xaxb=xa+b −9×8r4+12s2+9 13 Simplify 4+12 to 16 −9×8r16s2+9 14 Simplify 2+9 to 11 −9×8r16s11 Simplify 9×8r16s11 to 72r16s11 −72r16s11

OpenStudy (anonymous):

Im done with this see yall good luck keana

OpenStudy (keana):

the answer to the first step i mentioned earlier should be \[6r^6s^2\]

OpenStudy (dayakar):

verify power of r KarsonJames

OpenStudy (dayakar):

Keana ,first step answer is 9 instead of 6

OpenStudy (dayakar):

\[\left( -3 \right)^{2}=(-3)(-3)= 9\]

OpenStudy (dayakar):

clear

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