Apply the Zero Power Rule to create an equivalent expression to: 9 • (-33)^0 + 3/2 (8-27^0)
To apply the Zero Power Rule, any number (except zero) raised to the power of zero is equal to 1. Therefore, we can simplify the expression accordingly:
9 • (-33)^0 + 3/2 (8-27^0)
= 9 • 1 + 3/2 (8-1)
= 9 + 3/2 (7)
= 9 + 21/2
To add these fractions, we need a common denominator:
= 9 + 21/2
= 18/2 + 21/2
= 39/2
Therefore, the equivalent expression is 39/2.
Apply the Zero Power Rule to create an equivalent expression to: 9 • (-33)^0 + 3/2 (8-27^0)
____•(____)+3/2(_____-_____)
To apply the Zero Power Rule, any number (except zero) raised to the power of zero is equal to 1. Therefore, we can simplify the expression accordingly:
9 • (-33)^0 + 3/2 (8-27^0)
= 9 • 1 + 3/2 (8-1)
= 9 + 3/2 (7)
= 9 + (3/2)(7)
= 9 + (21/2)
Now, let's fill in the blanks to represent the equivalent expression:
9 • (-33)^0 + 3/2 (8-27^0)
= 9 • 1 + 3/2 (7)
= 9 • 1 + 3/2 • 7
Expressed in the format requested:
9 • (-33)^0 + 3/2 (8-27^0) = 9 • (____) + 3/2 • (_____)
Solv the expression. 15-8^0/5+4(7^0-6)
To solve the expression, we need to follow the order of operations (PEMDAS/BODMAS):
15 - 8^0 / 5 + 4 (7^0 - 6)
First, calculate any exponentiation:
15 - 1 / 5 + 4 (1 - 6)
Next, perform the multiplication and division from left to right:
15 - 1 / 5 + 4 (-5)
Now, perform the addition and subtraction from left to right:
15 - 1 / 5 - 20
To simplify further, we calculate the division first:
15 - 0.2 - 20
Now, perform the subtraction:
14.8 - 20
Finally, subtract to get the final result:
-5.2
Therefore, the solution to the expression 15 - 8^0 / 5 + 4 (7^0 - 6) is -5.2.
Use the Power Rules of Exponents to simplify (10^3)^6.
To simplify (10^3)^6, we can apply the Power Rule of Exponents, which states that when you raise an exponent to another exponent, you multiply the exponents. Therefore:
(10^3)^6 = 10^(3 * 6)
Now, we can simplify the exponent:
10^(3 * 6) = 10^18
Therefore, (10^3)^6 simplifies to 10^18.
Use the Power Rules of Exponents to simplify (10^3)^6. (1 point)
(10^3)^6=12^?
To simplify (10^3)^6 further, we can use another rule of exponents, which states that when you raise a power to another power, you multiply the exponents. Therefore:
(10^3)^6 = 10^(3 * 6) = 10^18
However, if you meant to ask for the equivalent expression using the base of 12, then we can convert 10^18 to a power of 12:
10^18 = (12/10)^18
Now, we can apply the power rule for exponents:
(12/10)^18 = 12^18 / 10^18
Therefore, (10^3)^6 is equivalent to (12^18 / 10^18).