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3 years ago

Write the expression without an exponent. 6^-2

Mathematics

1 answer:

Iteru [2.4K]3 years ago

8 0

Answer:

1/36

Step-by-step explanation:

When you put something to a negative exponent, you are essentially putting it over 1. So 6^-2 would become 1/6^2. Solving 6^2 gives you 36, so the full equation would be 1/36.

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Read 2 more answers

Write an equation to represent the relationship between the step number, n, and the number of dots, y.

KengaRu [80]

The equation that represents the relationship between step number and the number of dots is $y=5^n$ .

Solution:

Let the number of dots be y.

Step number 0: Number of dots = 1

y = 1

Using exponential rule: $a^0=1$

$y=5^0$

Step number 1: Number of dots = 5

y = 5

$y=5^1$

Step number 2: Number of dots = 25

y = 25

$y=5^2$

Step number 3: Number of dots = 125

y = 125

$y=5^3$

Note that in step number 0 the power is 0, 1st step power of 5 is 1, 2nd step power of 5 is 2 and the third step power of 5 is 3.

If the process goes on up to n steps, then power of 5 is n.

∴ Step number n:

$y=5^n$

Number of dots = $5^n$ .

Hence the equation that represents the relationship between step number and the number of dots is $y=5^n$ .

5 0

3 years ago

If y=80,when x=32 find x when y=100

Bess [88]

Y X
80 32
100 x'

80x' = 100*32
80x' = 3200
x' = 3200/80
x' = 320/8
x' = 40

5 0

3 years ago

Arrange the following polynomial into descending order for x, then interpret the degree of the 2nd term.

8_murik_8 [283]

The <em><u>correct answer</u></em> is:

The order is -11x⁵y² + 7x³y³ - 3x²y + 4; and the degree is 6.

Explanation:

To order them by x, we look at the powers of x. In the original polynomial, the power of x in the first term is 3, the power of x in the second term is 0, the power of x in the third term is 5, and the power of x in the last term is 2. Arranging them, we want 5, 3, 2 and 0. This explains the order.

The second term of the ordered polynomial is 7x³y³. The degree is found by adding the exponents of the variables in the problem; this gives us 3+3 = 6.

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3 years ago

What is the value of y?

o-na [289]

54° is the value of y

8 0

4 years ago