Answer:
3⁸ or 6561
Step-by-step explanation:
First, let's look at PEMDAS - Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.
There are no parentheses, so let's solve the exponents.
3² • 9³
3² = 9
9³ = 729
Your expression is:
9 • 729
Now let's multiply.
= 6561
This number can also be expressed with exponents.
Since 9 = 3², 9³ = 3²⁽³⁾
Now your expression is:
3² • 3²⁽³⁾
First, solve the exponents by multiplying.
3² • 3⁶
When you multiply two expressions with exponents that have the same base (3), you add the exponents.
3² • 3⁶ = 3⁽²⁺⁶⁾ = 3⁸
3⁸ also equals 6561.
Your answer is 3⁸ or 6561.
Hope this helps!
Answer: B) A=1/2(7)(12).
Explanation: The formula for area of a triangle is 1/2bh. Only B maintains this formula.
Width = x
length = x+10
Area of deck = 144 square feet
Area = length * width
144 = x(x+10)
Solving for x in a quadratic:
x²+10x = 144
x²+10x-144 = 0
Factor:
(x+18)(x-8) = 0
Solving for x:
x = 8, x = -18
Dimensions cannot be negative, therefore x = 8, only.
Length = x + 10
Length = 18
Width = 8
Answer:
4
Step-by-step explanation:
Image result for how many equal parts are in 4/5
Each equal part is called one-fourth or a quarter of the whole sheet. So, any whole can be divided into four equal parts and each part is one-fourth or a quarter of the whole.
Answer:
A is the answer.
Step-by-step explanation:
2 is the index for this expression.