Exponents

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Math › Exponents

Questions 1 - 10

1

Evaluate $17^\frac{1}{2}$

$\sqrt{17}$

$\sqrt{8.5}$

Explanation

When dealing with fractional exponents, we rewrite as such:

$x^\frac{a}{b}=\sqrt[b]{x^a}$

in which is the index of the radical and is the exponent raising base .

$17^\frac{1}{2}=\sqrt{17}$

2

Expand:

Explanation

To expand the exponent, we multiply the base by whatever the exponent is.

3

Expand

Explanation

To expand the exponent, we multiply the base by the power it is being raised to.

4

Expand

Explanation

When expanding exponents, we repeat the base by the exponential value.

5

Simplify:

$x^{11}$

$2x^{11}$

$x^{30}$

$2x^{30}$

$x^{12}$

Explanation

When multiplying exponents with the same base, we just keep the base the same and add the exponents.

$x^5*x^6=x^{5+6}=x^{11}$

6

Simplify:

$23^{15}$

$23^{56}$

$23^{9}$

$23^{10}$

$23^{19}$

Explanation

When multiplying exponents with the same base, we add the exponents and keep the base the same.

$23^7*23^8=23^{7+8}=23^{15}$

7

Simplify: $10^7*10^{12}$

$10^{19}$

$10^{84}$

$10^{34}$

$10^{29}$

$10^{9}$

Explanation

When multiplying exponents with the same base, we just add the exponents and keep the base the same.

$10^7*10^{12}=10^{7+12}=10^{19}$

8

Simplify:

$8^{16}$

$8^{64}$

$64^{16}$

$64^{64}$

Explanation

When exponents with the same base are multiplied together, we we will simply add the exponents and keep the base the same.

Multiply:

$8^8*8^8=8^{8+8}=8^{16}$

9

Simplify: $15^8*15^{12}$

$15^{20}$

$15^{96}$

$15^{24}$

$225^{20}$

$225^{96}$

Explanation

When multiplying exponents with the same base, we just add the exponents and keep the base the same.

$15^8*15^{12}=15^{8+12}=15^{20}$

10

Evaluate:

$15^{11}$

$15^{28}$

$225^{11}$

$225^{28}$

$30^{11}$

Explanation

When multiplying exponents with same base, we just add the exponents and keep the base the same.

$15^4*15^7=15^{4+7}=15^{11}$

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