Square roots are most often written using a radical sign, like this, . But there is another way to represent the taking of a root. You can use rational exponents instead of a radical. A rational exponent is an exponent that is a fraction. For example, can be written as .
Can’t imagine raising a number to a rational exponent? They may be hard to get used to, but rational exponents can actually help simplify some problems. Let’s explore the relationship between rational (fractional) exponents and radicals.
Rewriting Radical Expressions Using Rational Exponents
The answers are - 5x+8y and 5(4)+2(8)=36
Explanation
To solve the equation, you would substitute x and y for 5 and 8.
-Ex: 5(4)+8(2)=36
The numbers in the parentheses get multiplied by the numbers on the outside. Making ‘5(4)’=20 and ‘8(2)’=16
So 5(4)+8(2)=36
Answer:
1) 98°
2) 65°
Step-by-step explanation:
Sum of the angles in any triangle = 180°
in first triangle the third inner angle = 180 - (18 + 80) = 82 then measure of (1) = 180 - 82 = 98°
The missing interior angle of the second triangle = 180 - 124 = 56° then measure of (2) = 180 - (59+56) = 65°
The correct answer is 5 cm. We can find this by substituting the values we've been given into the formula for the volume of a rectangular prism.
V = lwh Volume of a rectangular prism
100 = 20h Substitute. Keep in mind that the base is length times width, so 20 accounts for both variables.
5 = h Divide both sides by 20
The height of the rectangular prism is 5 cm.
Hope this helps!
5+7=12
120/12 =10
10x5=50 and 10x7=70
So Martin has 50 indie cds and 70 dancs CDs