exponents and power Flashcards

1
Q

what would be the base of this expression (-2)^4

A

-2

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2
Q

write the exponent power: 27^9

A

9

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3
Q

what would be the base: -9^5

A

9

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4
Q

positive or Negative : (-4^6)

A

negative

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5
Q

positive or Negative : 2^9

A

positive

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6
Q

what is “9” in this 9^6 expression

A

base

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7
Q

what is”3” in this 5^3 expression

A

exponent

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8
Q

10 to the power of something will show us what

A

that how many zeros are their…

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9
Q

what be the following answer of this expression: 10^3

A

1,000

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10
Q

what be the following answer of this expression: 10^6

A

1,000,000

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11
Q

what would our answer be if the exponent in 0

A

1

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12
Q

what be the following answer of this expression: 10000000000000000000000000000000000^0

A

1

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13
Q

what be the following answer of this expression: 123887291739130839874280748e984729034820480923^0

A

1

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14
Q

what be the following answer of this expression: -118778132732837129837^0

A

1

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15
Q

what be the following answer of this expression: 23^0

A

1

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16
Q

how to raise a power to a power

A

multiply the exponent

17
Q

What is an exponent?

A

A number that indicates how many times a base is multiplied by itself.

18
Q

Base

A

When multiplying powers with the same base, add the exponents.

19
Q

Exponent

A

The number that indicates how many times the base is multiplied.

20
Q

Product of Powers Rule

A

When multiplying powers with the same base, add the exponents.

21
Q

Quotient of Powers Rule

A

When dividing powers with the same base, subtract the exponents.

22
Q

Power of a Power Rule

A

When raising a power to another power, multiply the exponents.

23
Q

Zero Exponent Rule

A

Any non-zero number raised to the power of 0 is 1.

24
Q

Negative Exponent Rule

A

A number raised to a negative exponent is the reciprocal of the number raised to the positive exponent.

25
Q

Evaluate: 2^3

A

8

26
Q

Simplify: x^4 * x^5

A

x^9

27
Q

Simplify: y^7 / y^2

A

y^5

28
Q

Simplify: (3^2)^3

A

3^6

29
Q

Write 1/9 using a negative exponent

A

9^-1

30
Q

Solve for x: 5^x = 125

A

x = 3