apply rhe zero power rule of integer exponents to create a equivalent expression to 4/3 (-2 + 1^0)
The zero power rule states that any number (except zero) raised to the power of zero is equal to 1.
So, we can apply the zero power rule to the expression 1^0:
1^0 = 1
Therefore, an equivalent expression to 4/3 (-2 + 1^0) would be:
4/3 (-2 + 1) = 4/3 (-2 + 1) = 4/3 (-1)
solve the expressions 2(1.6^0+7) - 4.9^0
To solve the expressions, we need to remember that any number raised to the power of 0 is equal to 1.
First, let's simplify 1.6^0:
1.6^0 = 1
Next, let's simplify 4.9^0:
4.9^0 = 1
Now, let's substitute these values back into the original expression:
2(1 + 7) - 1 = 2(8) - 1 = 16 - 1 = 15
Therefore, the solution to the expression 2(1.6^0 + 7) - 4.9^0 is 15.
Which of the following shows the correct process of solving -30 + 4.5? (1 point)
1. -30 + 4.5 = -3. 0 ÷ 4.5 = 0 ÷ 4.5 = 4.5
2. 3+45=1-3+45=1+45=5.5
3. 3445=-3+45-1.5
4. -30 + 4.5 = -1. 30 + 4.5 = -1. 1 + 4.5 = 1 ÷ 4.5 = 3.5
The correct process of solving -30 + 4.5 is option 4.
-30 + 4.5 = -1. 30 + 4.5 = -1. 1 + 4.5 = 1 ÷ 4.5 = 3.5
Which of the following is an equivalent expression to 7/(-5.3)^0 + 4 • 9 when applying the zero number power rule?
1. 7/5.3 + 4 • 9
2. 7/0 + 4 • 9
3. 7/5.3^0 + 36
4. 7/1 + 4 • 9
The zero power rule states that any number (except zero) raised to the power of zero is equal to 1.
Applying the zero power rule to (-5.3)^0 gives us 1.
Therefore, an equivalent expression to 7/(-5.3)^0 + 4 * 9 would be:
7/1 + 4 * 9
Simplifying further, we have:
7 + 36
The correct answer is:
7/5.3^0 + 4 * 9 = 7/1 + 4 * 9 = 7 + 36 = 43
Which of the following is an equivalent expression to 1/2 (9 - 7^0) + (-29)^0
1. 1/2 (9 - 1) + 1
2. 1/2 (2) + 1
3. 1/2 (9 - 1) - 1
4. 1/2 (9 - 0) + 0
The zero power rule states that any number (except zero) raised to the power of zero is equal to 1. Therefore, when we apply the zero power rule to 7^0 and (-29)^0, both will become 1.
Now, we can rewrite the expression as follows:
1/2 (9 - 7^0) + (-29)^0
= 1/2 (9 - 1) + 1
= 1/2 (8) + 1
= 4 + 1
= 5
Therefore, the equivalent expression is 1/2 (9 - 7^0) + (-29)^0 = 5.
The correct answer is option number 2. 1/2 (2) + 1.
To apply the zero power rule of integer exponents, we need to remember that any number (except zero) raised to the power of zero is equal to 1.
Let's break down the given expression step by step:
Expression: 4/3 (-2 + 1^0)
First, let's simplify the exponent 1^0. Using the zero power rule, we know that any number (except zero) raised to the power of zero is 1. Therefore, 1^0 is equal to 1.
Now, we can rewrite the expression as follows:
4/3 (-2 + 1^0)
= 4/3 (-2 + 1)
Since 1^0 = 1, we can simplify it to -2 + 1.
= 4/3 (-1)
Now, we multiply -1 to 4/3.
= (-4/3)
Therefore, the equivalent expression to 4/3 (-2 + 1^0) is (-4/3).