Examples with solutions for Power of a Quotient Rule for Exponents: Identify the greater value

Exercise #1

Which value is greater?

Video Solution

Answer

(y4)3 (y^4)^3

Exercise #2

Which value is greater?

Video Solution

Answer

(a2)4 (a^2)^4

Exercise #3

Which value is greater?

Video Solution

Answer

(y4)3 (y^4)^3

Exercise #4

Which value is greater?

Video Solution

Answer

(x3)5 (x^3)^5

Exercise #5

Which value is the largest?

given that a>1

Video Solution

Answer

a10a1 \frac{a^{10}}{a^1}

Exercise #6

Which value is the largest?

given that a>1

Video Solution

Answer

a3 a^3

Exercise #7

Which represents the the largest?

value given that a >1

Video Solution

Answer

a2 a^2

Exercise #8

Insert the compatible sign:

>,<,=

(4×9×3)7(4×9×3)10(4×9×3)2 \frac{\left(4\times9\times3\right)^{-7}}{\left(4\times9\times3\right)^{-10}}\Box\left(4\times9\times3\right)^2

Video Solution

Answer

<

Exercise #9

Insert the compatible sign:

Mark >,<,=

(5×6)7(5×6)2(5×6)9(5×6)4 \frac{\left(5\times6\right)^7}{\left(5\times6\right)^2}\Box\frac{\left(5\times6\right)^9}{\left(5\times6\right)^4}

Video Solution

Answer

=

Exercise #10

727873(7)4——727973(7)4 \frac{7^2\cdot7^{-8}}{7^3\cdot(-7)^4}_{——}\frac{7^2\cdot7^{-9}}{7^3\cdot(-7)^4}

Video Solution

Answer

>

Exercise #11

Which value is the largest?

given that a>1 .

Video Solution

Answer

a4a4 \frac{a^4}{a^{-4}}