All categories

3 years ago

Which is equivalent to 2 to the fourth power times 2 to the negative 6 power?

Mathematics

2 answers:

scZoUnD [109]3 years ago

7 0

(2^4) * (2^-6) = 2^(4 - 6) = 2^-2 = 1/(2^2) = 1/4

or

(2^4) * (2^-6) = 2^4 * 1/(2^6) = 16 * (1 / 64) = 16/64 = 1/4

anastassius [24]3 years ago

4 0

.25 or 1/4

How:
2^4=16
2^-6=<span>.015625
16*.015625 = .25</span>

You might be interested in

I need help with these three problems please

Liono4ka [1.6K]

Answer:

Q7. 11.3 inches (3 s.f.)

Q8. 96.2 ft

Q9. 36.4cm

Step-by-step explanation:

Q7. Please see attached picture for full solution.

Q8. Let the length of a side of the square be x ft.

Applying Pythagoras' Theorem,

$34^{2} = {x}^{2} + {x}^{2} \\ 2 {x}^{2} = 1156 \\ {x}^{2} = 1156 \div 2 \\ {x}^{2} = 578 \\ x = \sqrt{578} \\$

Thus, the perimeter of the square is

$= 4( \sqrt{578} ) \\ = 96.2 ft\: \: \: (3 \: s.f.)$

Q9. Equilateral triangles have 3 equal sides and each interior angle is 60°.

Since the perimeter of the equilateral triangle is 126cm,

length of each side= 126÷3 = 42 cm

The green line drawn in picture 3 is the altitude of the triangle.

Let the altitude of the triangle be x cm.

sin 60°= $\frac{x}{42}$

$\frac{ \sqrt{3} }{2} = \frac{x}{42} \\ x = \frac{ \sqrt{3} }{2} \times 42 \\ x = 21 \sqrt{3} \\ x = 36.4$

(to 3 s.f.)

Therefore, the length of the altitude of the triangle is 36.4cm.

4 0

3 years ago

Read 2 more answers

Explain how you can use place-value patterns to describe how 50 and 5000 compare

Masteriza [31]

If you have 50. and want to make it 5000 you can move the decimals point over 2 which would also be ×100

6 0

3 years ago

The point P(5, −1) is rotated 90 degrees clockwise around the origin.

azamat

Answer:

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

A vending machine sells chips for $0.50 and candy bars for $1.00. If Jim spent $5.50 on snacks in the machine over the course of

m_a_m_a [10]

Answer:

can't be determined

Step-by-step explanation:

we would need to know the total number of bars/chips he brought

5 0

2 years ago

Antoine Purchase 1.8 kg of apples and 315 dekagrams of oranges This was 1350 g more than the weight of bananas bridges what was

victus00 [196]

Answer: 3600 grams

Step-by-step explanation:

A dekagram means 10 grams.

1 kilogram = 1000 grams

Therefore the total number of grams when Antoine Purchase 1.8 kg of apples and 315 dekagrams of oranges will be:

= (1.8 × 1000) + (315 × 10)

= 1800 + 3150

= 4950 grams

Since this was 1350g more than the weight of bananas, the weight of the bananas Antonio purchased in grams will be:

= 4950 - 1350

= 3600 grams

6 0

3 years ago