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Create an image to accompany a math problem. The image should contain visual details that are connected to the Product Rule of Exponents. Illustrate two numbers, 510 and 55, being multiplied together as part of this calculation. The numbers are written as stylized numbers on a piece of white paper. They are surrounded by decorative mathematical symbols, such as plus signs, equal signs and exponents, like a mosaic of math symbols. The scene should look like it's part of a mathematics lesson, with a muted background to highlight the numbers.

Use the Product Rule of Exponents to simplify 510⋅55(1 point)

Responses

550
5 superscript 50 baseline

2515
25 superscript 15 baseline

2550
25 superscript 50 baseline

515

fr, i miss the old days of questions llc.

What is the missing exponent in the following equation?

h450h? = h215

The missing exponent can be determined using the Product Rule of Exponents. According to the Product Rule, when multiplying two exponential expressions with the same base, the exponents are added together.

In the given equation, h450h? = h215, we have the bases on both sides of the equation as h.

Using the Product Rule, we can set up the equation:

( h^4 )^50 * h^? = ( h^2 )^15

To simplify this equation, we multiply the exponents on each side:

h^(4*50) * h^? = h^(2*15)

h^200 * h^? = h^30

Now, we can use the rule of combining exponentials with the same base:

h^(200 + ?) = h^30

Since the bases on both sides of the equation are the same (h), the exponents must be equal:

200 + ? = 30

Solving for ?, we subtract 200 from both sides:

? = 30 - 200
? = -170

Therefore, the missing exponent in the equation is -170.

you sure

Apologies for the mistake in the previous response. Let's re-evaluate the given equation:

h^450 * h^? = h^215

According to the Product Rule of Exponents, when we multiply two exponential expressions with the same base, we add the exponents.

Therefore, for the left side of the equation:

h^450 * h^? = h^(450 + ?)

The right side of the equation is already expressed as h^215.

So, we can rewrite the equation as:

h^(450 + ?) = h^215

For the equation to hold true, the exponents on both sides must be equal:

450 + ? = 215

To solve for ?, we subtract 450 from both sides:

? = 215 - 450
? = -235

Therefore, the missing exponent in the equation is -235.

Simplify 1287÷1225.

To simplify 1287 ÷ 1225, we divide the numerator (1287) by the denominator (1225).

1287 ÷ 1225 = 1.0514285714

So, the simplified form of 1287 ÷ 1225 is approximately 1.0514285714.

answer

1287 ÷ 1225 simplifies to 1.052

What is the value of 6.9−20?(1 point)

Responses

6.9
6.9

7.9
7.9

5.9
5.9

4.9