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4 years ago

Write the expression 3∙3∙3∙3∙3 in exponential form. Evaluate the expression. -62

Mathematics

1 answer:

kakasveta [241]4 years ago

8 0

Answer:

3 to the power of 5 (I cant write as exponent)

Step-by-step explanation:

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Richard simplified an expression in three steps, as shown:

soldi70 [24.7K]

Answer:

Step 2 because Richard multiply the powers of same base in denominator instead adding powers of same base.

Step-by-step explanation:

We are given that Richard simplified an expression in threes steps

We have to find the incorrect step in simplification of Richard

Step 1: all the exponent are multiplied by 3

$\frac{x^{-4}y^2}{yx^2\cdot x^2y^{-4}}^{3}=\frac{x^{-12}y^6}{y^3x^6\cdot x^6y^{-12}}$

Step 2:The exponents in the denominator are multiplied

$\frac{x^{-12}y^6}{y^3x^6\cdot x^6 y^{-12}}=\frac{x^{-12}y^6}{x^{12}y^{-9}}$

Step 3:The exponents of the same base are subtracted during division

$\frac{x^{-12}y^6}{x^{12}y^{-9}}=x^{-12-12}y^{6+9}$

$=x^{-24}y^{15}$

Richard makes mistake in step 2 when we multiply then power of same base should be added but Richard multiply the powers of same base in denominator.

4 0

4 years ago

the vertices of a triangle are located at (-3,-1), (2,3),(5,2). record the triangles perimeter to the nearest whole number

ELEN [110]

Answer:

The perimeter of the triangle is approximately equal to 18

Step-by-step explanation:

The coordinates of the vertices of the triangle are (-3, -1), (2, 3), and (5, 2)

The formula for the lengths, l, of the sides of the triangle, given their end points coordinates is presented as follows;

$l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}$

The lengths of the segments that make up the triangle are therefore;

Between the vertex points (-3, -1) and (2, 3), we have, √((-3 - 2)² + (-1 - 3)²) = √41

Between the vertex points (-3, -1) and (5, 2), we have, √((-3 - 5)² + (-1 - 2)²) = √73

Between the vertex points (2, 3) and (5, 2), we have, √((2 - 5)² + (3 - 2)²) = √10

Therefore;

The perimeter of the triangle = The sum of the lengths of the sides of the triangle = √41 + √73 + √10

The perimeter of the triangle = √41 + √73 + √10 ≈ 18.1094

∴ The perimeter of the triangle ≈ 18, after rounding to the nearest whole number.

7 0

3 years ago

The table shows ordered pairs of the function y = 8 - 2x. When x = 8, the value of y is ?

xz_007 [3.2K]

Substitute the value of x into the expression,
y = 8 - 2x
y = 8 - 2(8)
y = 8 - 16
y = -8

In short, Your Answer would be -8

Hope this helps!

6 0

3 years ago

Simplify the expressions by combining like terms:

MakcuM [25]

Answer: -4m + 4n

4m - 8m = -4m

-2n + 6n = 4n

3 0

3 years ago

Read 2 more answers

Tonisha has a lemonade stand. She has $34 in expenses and wants to make at least $76 per day.

saul85 [17]

Answer:

x − 36 ≥ 55

Step-by-step explanation:

Given:

At least income = $76

Total expenses = $34

Find:

Inequality

Computation:

Assume;

Total amount of sales = x

So,

Inequality;

x − 36 ≥ 55

3 0

3 years ago