Apply the Zero Power Rule to create an equivalent expression to 9⋅(−33)^0+3/2(8−27^0) .(2 points)
According to the Zero Power Rule, any non-zero number raised to the power of 0 is equal to 1.
Therefore, the expression 9⋅(−33)^0 can be simplified to 9⋅1, which is just 9.
Similarly, the expression 2(8−27^0) can be simplified to 2(8 - 1), since 27^0 is equal to 1. This gives us 2(7), which is equal to 14.
Therefore, an equivalent expression to 9⋅(−33)^0+3/2(8−27^0) is 9 + 14.
Apply the Zero Power Rule to create an equivalent expression to 9⋅(−33)^0+3/2(8−27^0)
9⋅(−33)^0+3/2(8−27^0) =
⋅
+3/2(
–
)
According to the Zero Power Rule, any non-zero number raised to the power of 0 is equal to 1. In this case, (-33)^0 and 27^0 are both equal to 1.
Therefore, the expression 9⋅(−33)^0 can be simplified to 9⋅1, which is just 9.
Similarly, the expression 2(8−27^0) can be simplified to 2(8 - 1), since 27^0 is equal to 1. This gives us 2(7), which is equal to 14.
Therefore, an equivalent expression to 9⋅(−33)^0+3/2(8−27^0) is 9 + 3/2(7).
Solve the expression 15⋅8^0/5+4(7^0−6) .(1 point)
To solve the expression 15⋅8^0/5+4(7^0−6), we follow the order of operations (PEMDAS/BODMAS).
First, we evaluate any exponentiation. The zero exponent rule states that any non-zero number raised to the power of 0 is equal to 1.
So, 8^0 is equal to 1, and 7^0 is also equal to 1.
Now, we simplify the expression further:
15⋅1/5 + 4(1 - 6)
Multiplying 15 and 1/5:
= 3 + 4(1 - 6)
Next, we apply the subtraction inside the parentheses:
= 3 + 4(-5)
Now we multiply 4 and -5:
= 3 + (-20)
Finally, we add 3 and -20:
= -17
Therefore, the value of the expression 15⋅8^0/5+4(7^0−6) is -17.