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ISEE Upper Level Math : How to divide exponential variables

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All ISEE Upper Level Math Resources

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Example Questions

Example Question #71 : Variables And Exponents

Simplify:

$y^{12} \div y^2$

Possible Answers:

y^8

y^4

y^6

$y^{14}$

$y^{10}$

Correct answer:

$y^{10}$

Explanation:

To simplify, we will use the following formula:

$x^a \div x^b = x^{a-b}$

So, given the problem, we get

$y^{12} \div y^2 = y^{12-2}$

$y^{12} \div y^2 = y^{10}$

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Example Question #72 : Variables And Exponents

Divide the following:

$\frac{h^{10}}{h^2}$

Possible Answers:

h^8

h^5

h^1

$h^{12}$

$h^{20}$

Correct answer:

h^8

Explanation:

To divide like terms with exponents, we will use the following formula:

$\frac{a^x}{a^y} = a^{x-y}$

So, we get

$\frac{h^{10}}{h^2}$

$h^{10-2}$

h^8

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Example Question #73 : Variables And Exponents

Divide the following:

$\frac{y^9}{y^3}$

Possible Answers:

y^6

y^3

2y^2

y^2

y^8

Correct answer:

y^6

Explanation:

To divide like variables with exponents, we will use the following formula:

$\frac{a^x}{a^y} = a^{x-y}$

So, we get

$\frac{y^9}{y^3} = y^{9-3}$

$\frac{y^9}{y^3} = y^6$

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Example Question #74 : Variables And Exponents

Divide the following::

$p^9 \div p^3$

Possible Answers:

p^1

p^6

$p^{12}$

p^3

$p^{93}$

Correct answer:

p^6

Explanation:

To divide variables with exponents, we will use the following formula:

$x^a \div x^b = x^{a-b}$

Now, let’s divide the following:

$p^9 \div p^3 = p^{9-3}$

$p^9 \div p^3 = p^{6}$

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Example Question #75 : Variables And Exponents

Solve the following:

$\frac{18x^4}{9x}$

Possible Answers:

9x^2

2x^3

2x^4

9x^3

Correct answer:

2x^3

Explanation:

To divide like variables with exponents, we will use the following formula:

$\frac{a^x}{a^y} = a^{x-y}$

Also, we divide the coefficients like normal.

So, we get

$\frac{18x^4}{9x}$

$\frac{2x^4}{1x}$

$\frac{2x^4}{x}$

$\frac{2x^4}{x^1}$

$2x^{4-1}$

2x^3

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All ISEE Upper Level Math Resources

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ISEE Upper Level Math : How to divide exponential variables

Study concepts, example questions & explanations for ISEE Upper Level Math

All ISEE Upper Level Math Resources

Example Questions

Example Question #71 : Variables And Exponents

Example Question #72 : Variables And Exponents

Example Question #73 : Variables And Exponents

Example Question #74 : Variables And Exponents

Example Question #75 : Variables And Exponents

All ISEE Upper Level Math Resources

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