exponents and power Flashcards
what would be the base of this expression (-2)^4
-2
write the exponent power: 27^9
9
what would be the base: -9^5
9
positive or Negative : (-4^6)
negative
positive or Negative : 2^9
positive
what is “9” in this 9^6 expression
base
what is”3” in this 5^3 expression
exponent
10 to the power of something will show us what
that how many zeros are their…
what be the following answer of this expression: 10^3
1,000
what be the following answer of this expression: 10^6
1,000,000
what would our answer be if the exponent in 0
1
what be the following answer of this expression: 10000000000000000000000000000000000^0
1
what be the following answer of this expression: 123887291739130839874280748e984729034820480923^0
1
what be the following answer of this expression: -118778132732837129837^0
1
what be the following answer of this expression: 23^0
1
how to raise a power to a power
multiply the exponent
What is an exponent?
A number that indicates how many times a base is multiplied by itself.
Base
When multiplying powers with the same base, add the exponents.
Exponent
The number that indicates how many times the base is multiplied.
Product of Powers Rule
When multiplying powers with the same base, add the exponents.
Quotient of Powers Rule
When dividing powers with the same base, subtract the exponents.
Power of a Power Rule
When raising a power to another power, multiply the exponents.
Zero Exponent Rule
Any non-zero number raised to the power of 0 is 1.
Negative Exponent Rule
A number raised to a negative exponent is the reciprocal of the number raised to the positive exponent.
Evaluate: 2^3
8
Simplify: x^4 * x^5
x^9
Simplify: y^7 / y^2
y^5
Simplify: (3^2)^3
3^6
Write 1/9 using a negative exponent
9^-1
Solve for x: 5^x = 125
x = 3
