Answer:
Step-by-step explanation:
a) (2³ · 2⁴)⁵ · (2⁷ · 2¹ · 2²)⁰ / (2³ · 2²) = (2⁷)⁵ · 1 / 2⁵ = 2³⁵ / 2⁵ = 2⁷
b) (((-6)²· (-6)⁴)³ / ((-2)² · 3²) · (-6)⁰ = ((6²· 6⁴)³ / (2²· 3²) 1 = (6⁶)³ / 6² = 6¹⁸ / 6² = 6¹⁶
c) (√81 / √9) · (3² / 3²) / 3² = (9 / 3) · 3²⁻² / 3² = 3 · 3⁰ / 3² = 3¹ / 3² = 1 / 3 = 3⁻¹
D) (√2 ·√3 ·√20) / √√625 = √6 · √20 / √25 = √6 · √5 · √4 / 5 = (2/5) √30
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A button with a circumference of 7.38 cm will need a buttonhole with the size of 2.35 cm.
Since the circumference is equivalent to 7.38 cm, the formula can be displayed as follows:
7.38 cm = 2<span>πr
r = 7.38cm/2</span><span>π
r= 1.1751592 cm
diameter = 2r
= 2.3503184 cm or approximately 2.35 cm</span>
<h3>Given system :</h3>
<h3>Solution to the system :</h3>
Substitute the given value of y into the equation -3x-2y=-12
Distribute -2 through the parentheses
Collect like terms
Move the constant to the right-hand side and change its sign
Calculate the sum and divide both sides of equation by -13
Now, Substitute the given value of x into y=5x-7
Multiply the numbers
Subtract the numbers
The possible solution of the system is the ordered pair (x,y)
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