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LuckyWell [14K]
2 years ago
8

Heyy!!

Mathematics
1 answer:
rosijanka [135]2 years ago
8 0

<u>Answer:</u>

6^{10}

<u>Step-by-step explanation:</u>

We can use the following rule of surds to solve the problem:

\boxed{a^m \times a^n = a^{m + n}},

which means that when multiplying two numbers with the same bases, we can simply add their powers while keeping the base the same.

Applying this rule:

6^2 \times 6^8

⇒ 6^{2 + 8}

⇒ \bf 6^{10}

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............................
prohojiy [21]
Ahh yes, negative exponents always give us a scare once and a while. All the negative means is to flip the position of its base. For instance, if x has a negative exponent and x in the denominator, all you would have to do is move x to the numerator with the same power (except it's no longer negative). Before we substitute x and all the other variables which the values given, let's eliminate the negatives first.

After flipping positions/eliminating the negative exponents it should look like this:

\frac{ 2^{2} x^{3} }{ y^{5} }
which simplifies to 
\frac{ 4 x^{3} }{ y^{5} }
now that everything is simplified, and all negative exponents are eliminated we can substitute x with 2, and y with (-4).
\frac{4 (2)^{3} }{ (-4)^{5} }
which simplifies to 
\frac{4(8)}{(-1024)} = \frac{32}{-1024} = - \frac{1}{32}

Final Answer: - \frac{1}{32} [/tex]
4 0
3 years ago
What is the value of x in the diagram below? If necessary, round your answer
dolphi86 [110]
The answer might be c
3 0
2 years ago
Read 2 more answers
Simplify the expression. (-3 + 6i)(-3 + 5i)
Alex_Xolod [135]

Answer:

11i-6

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Abc similar to def the area of abc is 45cm and the area of triangle def is 20cm one side of triangle abc is 3.6cm the the length
pickupchik [31]

Answer:

2.4cm

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

that means two lengths of the triangle have to be multiplied.

and to have 2 similar triangles means that all lengths inside one triangle are the corresponding lengths inside the other triangle multiplied by the scaling factor f.

multiplying 2 if these lengths with each other means also including the square of the scaling factor (multiplying with the scaling factor twice).

so, if the area of triangle 1 is

"baseline 1" × "height 1" / 2 = 45 cm²

then the area of triangle 2 is

"baseline 2" × "height 2" / 2 =

= "baseline 1"×f × "height 1"×f /2 =

= "baseline 1" × "height 1" × f² / 2 =

= ("baseline 1" × "height 1" / 2) × f² =

= 45 × f² = 20 cm²

f² = 20/45 = 4/9

f = 2/3

so, for a side of ABC being 3.6cm long, that means the corresponding side in DEF is

3.6 × f = 3.6 × 2/3 = 7.2/3 = 2.4cm

4 0
3 years ago
Find the value of 15625 × (-2) + (-15625) × 98
gregori [183]

Answer:

-1562500

Step-by-step explanation:

15625 × (-2) + (-15625) × 98 = -31250 + (-1531250)

                                              = -31250 - 1531250

                                              = -1562500

6 0
2 years ago
Read 2 more answers
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