Which of the following expressions can be simplified to give an answer of 1?
To determine which of the expressions can be simplified to give an answer of 1, let's evaluate each expression:
1. (2 - 1) + (3 - 2)
Simplifying this expression step by step:
(2 - 1) + (3 - 2)
1 + (3 - 2)
1 + 1
The answer is 2, not 1. This expression cannot be simplified to give an answer of 1.
2. (5 - 3) × (2 - 1)
Simplifying this expression step by step:
(5 - 3) × (2 - 1)
2 × (2 - 1)
2 × 1
The answer is 2, not 1. This expression cannot be simplified to give an answer of 1.
3. (4 - 3) ÷ (2 - 1)
Simplifying this expression step by step:
(4 - 3) ÷ (2 - 1)
1 ÷ (2 - 1)
1 ÷ 1
The answer is 1. This expression simplifies to give an answer of 1.
Therefore, option 3: (4 - 3) ÷ (2 - 1) is the expression that can be simplified to give an answer of 1.
Which of the following expressions can be simplified to give an answer of 1?
11^0+24^0
15−(9.1)^0
2(8^0)
(−5.22)^0
To determine which of the expressions can be simplified to give an answer of 1, let's evaluate each expression:
1. 11^0 + 24^0
Any number raised to the power of 0 equals 1, so both terms in this expression will be 1.
Therefore, 11^0 + 24^0 simplifies to 1 + 1 = 2. This expression does not simplify to give an answer of 1.
2. 15 - (9.1)^0
Again, any number raised to the power of 0 equals 1. So, (9.1)^0 = 1.
Therefore, 15 - (9.1)^0 simplifies to 15 - 1 = 14. This expression does not simplify to give an answer of 1.
3. 2(8^0)
Once again, any number raised to the power of 0 equals 1. So, 8^0 = 1.
Therefore, 2(8^0) simplifies to 2(1) = 2. This expression does not simplify to give an answer of 1.
4. (-5.22)^0
Similarly, any number raised to the power of 0 equals 1. So, (-5.22)^0 = 1.
Therefore, (-5.22)^0 simplifies to 1. This expression does simplify to give an answer of 1.
Therefore, the expression (−5.22)^0 can be simplified to give an answer of 1.
Use the Power Rule of Exponents to simplify the expression
(x^6)^5
The Power Rule of Exponents states that when you raise a power to another power, you multiply the exponents.
Using this rule, let's simplify the expression (x^6)^5:
(x^6)^5 = x^(6 * 5) = x^30
Therefore, the expression (x^6)^5 simplifies to x^30.
If the expression 5^10
was simplified using the Power Rule of Exponents, which of the following would be an expanded equivalent expression?
If the expression 5^10 is simplified using the Power Rule of Exponents, the expanded equivalent expression would be:
5^10 = 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 = 9,765,625
Therefore, the expanded equivalent expression is 9,765,625.
If the expression 5^10
was simplified using the Power Rule of Exponents, which of the following would be an expanded equivalent expression?(1 point)
Responses
(5^16)^6
open paren 5 to the 16th power close paren to the 6th power
(5⋅5⋅5⋅5⋅5)⋅(5⋅5⋅5⋅5⋅5)⋅(5⋅5⋅5⋅5⋅5)⋅(5⋅5⋅5⋅5⋅5)⋅(5⋅5⋅5⋅5⋅5)
(5⋅5)^8
r
(5⋅5)⋅(5⋅5)⋅(5⋅5)⋅(5⋅5)⋅(5⋅5)
If the expression 5^10 is simplified using the Power Rule of Exponents, the expanded equivalent expression would be:
(5^10) = (5^2)^5 = (5 * 5)^5 = (25)^5
Therefore, the expanded equivalent expression is (25)^5.
If the expression 5^10
was simplified using the Power Rule of Exponents, which of the following would be an expanded equivalent expression?(1 point)
Responses
(5^16)^6
(5⋅5⋅5⋅5⋅5)⋅(5⋅5⋅5⋅5⋅5)⋅(5⋅5⋅5⋅5⋅5)⋅(5⋅5⋅5⋅5⋅5)⋅(5⋅5⋅5⋅5⋅5)
(5⋅5)^8
(5⋅5)⋅(5⋅5)⋅(5⋅5)⋅(5⋅5)⋅(5⋅5)