Apply the Zero Power Rule to create an equivalent expression to 4/3(−2+1^0).(1 point)
An equivalent expression to 4/3(−2+1^0) is 4/3(−2+ ? ).
An equivalent expression to 4/3(−2+1^0) is 4/3(-2+1).
Solve the expression 2(1.6^0+7)−4.9^0.(1 point)
2(1.6^0+7)−4.9^0=
.
First, we need to evaluate the exponent 0, which means any number raised to the power of 0 is equal to 1.
1.6^0 = 1 and 4.9^0 = 1
Now, we can substitute these values back into the expression and evaluate it.
2(1+7)-1 = 2(8)-1 = 16-1 = 15
Therefore, 2(1.6^0+7)−4.9^0 is equal to 15.
To apply the Zero Power Rule, we need to rewrite the expression 1^0 as 1.
So, the equivalent expression to 4/3(−2+1^0) is 4/3(−2+1).
To apply the Zero Power Rule to create an equivalent expression, we need to simplify the term 1^0 first.
The Zero Power Rule states that any number (except 0) raised to the power of 0 equals 1. Therefore, 1^0 is equal to 1.
Now let's substitute 1^0 with 1 in the expression: 4/3(−2+1).
Next, simplify the expression within the parentheses: −2+1 = -1.
Replacing the simplified expression within the parentheses back into the original expression, we have: 4/3(-1).
So, an equivalent expression to 4/3(−2+1^0) is 4/3(-1).