X=Tom´s age
y=Tim´s age.
we suggest this system of equations:
x+y=21
(x+3)=2(y+3)
We solve this system of equations by susbstitution method.
x=21-y
[(21-y)+3]=2(y+3)
24-y=2y+6
-y-2y=6-24
-3y=-18
y=-18/-3=6
x=21-y
x=21-6=15.
Answer: Tom is 15 years old, and Tim is 6 years old.
The simplification form of the number expression (2⁴)⁻¹ is 1/2⁴ option (B) one over two raised to the fourth power is correct.
<h3>What is an integer exponent?</h3>
In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
The number expression is:
= (2⁴)⁻¹
Using the properties of the integer exponent:
= 1/2⁴
The above number is one over two raised to the fourth power
Thus, the simplification form of the number expression (2⁴)⁻¹ is 1/2⁴ option (B) one over two raised to the fourth power is correct.
Learn more about the integer exponent here:
brainly.com/question/4533599
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Answer:
=5/21L+ -5/84
Step-by-step explanation:
=-(5/7) (-(1L/3-3/4)+1/3/4)
=(-5/7)(-(1L/3-3/4))+(-5/7)(1/3/4)
=5/21L= -15/28+ -5/84
=5/21L=+ -25/42
