Write an expression, using an exponent, that is equivalent to 6x6x6x6x6

Mathematics

1 answer:

Mariulka [41]2 years ago

4 0

Answer:

6^5 or 6 to the power of 5

Step-by-step explanation:

This is because 6*6 is 36 which is equal to 6^2 and 6*6*6 is 6^3 6*6*6*6 is 6^4 and finally we have 6*6*6*6*6 which is 6^5.

You might be interested in

Find the missing length. The triangles in each pair are similar?

larisa [96]

Answer:

The length of the missing side is 117 :)

Step-by-step explanation:

I set up a proportion using sides NM, LD, LN, and DC :

182/28 = x/18

182(18) = 28x

3276 = 28x

3276/28 = 28x/28

x = 117

7 0

1 year ago

Factor both quadratic expressions. (x 4 + 5x 2 - 36)(2x 2 + 9x - 5) = 0

Sonbull [250]

So focusing on x^4 + 5x^2 - 36, we will be completing the square. Firstly, what two terms have a product of -36x^4 and a sum of 5x^2? That would be 9x^2 and -4x^2. Replace 5x^2 with 9x^2 - 4x^2: $x^4+9x^2-4x^2-36$

Next, factor x^4 + 9x^2 and -4x^2 - 36 separately. Make sure that they have the same quantity inside of the parentheses: $x^2(x^2+9)-4(x^2+9)$

Now you can rewrite this as $(x^2-4)(x^2+9)$ , however this is not completely factored. With (x^2 - 4), we are using the difference of squares, which is $a^2-b^2=(a+b)(a-b)$ . Applying that here, we have $(x+2)(x-2)(x^2+9)$ . x^4 + 5x^2 - 36 is completely factored.

Next, focusing now on 2x^2 + 9x - 5, we will also be completing the square. What two terms have a product of -10x^2 and a sum of 9x? That would be 10x and -x. Replace 9x with 10x - x: $2x^2+10x-x-5$