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:
6 5/12
Step-by-step explanation:
2 2/3 as a mixed number is 8/3
3 3/4 as a mixed number is 15/4
To make the 2 fractions have a common denominator, they become:
32/12 and 45/12
to add them up it will be: 77/12 which can be written as 6 5/12
You would times 20 and 15 to get 300 and then divide 300 by 25 to get 12