Answer:
(5 t ) cubed = 5 cubed . t cubed = 125 t cubed applies the power of a product rule to simplify (5 t) cubed ⇒ 3rd answer
Step-by-step explanation:
Let us revise some rules of exponents
×
=
×÷
= 
= 
=
. 
To simplify 
∵ 5t means 5 × t
∵ Both of them are cubed
- Use the 4th rule above
∴
= 
∵ (5)³ = 5 × 5 × 5 = 125
∴
=
= 125 t³
(5 t ) cubed = 5 cubed . t cubed = 125 t cubed applies the power of a product rule to simplify (5 t) cubed
|x| = x for x ≥ 0
examples:
|3| = 3; |0.56| = 0.56; |102| = 102
|x| = -x for x < 0
examples:
|-3| = -(-3) = 3; |-0.56| = -(-0.56) = 0.56; |-102| = 102
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Use PEMDAS:
P Parentheses first
E Exponents (ie Powers and Square Roots, etc.)
MD Multiplication and Division (left-to-right)
AS Addition and Subtraction (left-to-right)
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Put the values of x to the equation of the function h(x):

Answer: 342 cm³
Step-by-step explanation: To find the volume of the rectangular prism, start with the formula for the volume or a prism.
Volume = length × width × height
Since we are not sure what the length, width, or height is in this problem, we can plug any of these numbers in for the length, width, or height. The commutative property of multiplication states that changing the order of the factors does not change the product.
Volume = (19 cm) (9 cm) (2 cm)
Volume = 342 cm³
Therefore, the volume of the rectangular prism is 342 cm³.
Answer:
n = 19/18
Step-by-step explanation:
Given:
11/6 = n + 7/9
Find n
11/6 = n + 7/9
Subtract 7/9 from both sides of the equation
11/6 - 7/9 = n + 7/9 - 7/9
11/6 - 7/9 = n
(99-42) / 54 = n
n = 57/54
n = 19/18
Answer:
25
Step-by-step explanation:
3^2=9
-2^4=16
9+16=25