Simplify the expression (x to the fourth power times x cubed)squared/x to the 4.

Question

Create a highly detailed image of an algebraic problem visually represented as geometrical shapes. The main focus should be a large cube, divided into smaller cubes and even smaller cubes, accounting for various powers of x (raising to the power of three and four). Have a separate section on the image showing the cube squaring process. Finally, visually represent the division process by showing one of these complex structures divided by a smaller cube representing x to the power of four. Ensure the image contains no text.

Simplify the expression (x to the fourth power times x cubed)squared/x to the 4.

a)x
b)x to the fifth
c)x to the tenth
d)x to the 20

I kind of confused. I tried to divide by 4, but i couldn't get anything. I need help?

Answer 1

What is the simplified form of 30 times x to the sixth power over 14 times y to the fifth power times the fraction 7 times y squared over 6 times x to the fourth power?

Answer 2

Well, let's break it down step by step:

First, let's simplify the expression inside the parentheses: (x to the fourth power times x cubed) is equal to x to the power of (4 + 3) which is x to the power of 7.

Next, let's square x to the power of 7: (x to the power of 7) squared is equal to x to the power of (7 x 2) which is x to the power of 14.

Finally, we divide x to the power of 14 by x to the power of 4: x to the power of (14 - 4) which is x to the power of 10.

So the simplified expression is x to the power of 10, which means the correct answer is c) x to the tenth.

Remember, math isn't as scary as it seems! Keep practicing and it will become easier.

Answer 3

To simplify the expression, let's break it down step-by-step.

Step 1: Apply the power of a power rule.
(x^4 * x^3)^2 = x^7^2 = x^14

Step 2: Divide by x^4.
x^14 / x^4 = x^(14-4) = x^10

Therefore, the simplified expression is x to the tenth power.

The correct answer is:
c) x to the tenth

Answer 4

To simplify the expression ((x^4 * x^3)^2) / x^4, we can break it down step by step. Let's start:

Step 1: Simplify the exponent of (x^4 * x^3)^2
(x^4 * x^3)^2 simplifies to (x^7)^2. We multiplied the exponents inside the parentheses because we have the power of a power rule.

Step 2: Apply the exponent to the expression (x^7)^2
(x^7)^2 means we multiply the exponents, so it becomes x^(7*2) = x^14.

Step 3: Simplify the denominator by dividing the x^4
x^4 / x^4 = 1. When we divide two terms with the same base but different exponents, we subtract the exponents.

Now, we have x^14 / 1, and any number/1 is just the number itself.

Therefore, the simplified expression is x^14.

So, the answer is (c) x to the tenth.

Answer 5

[x^4*x^3]^2/x^4 = (x^7)^2/x^4 = x^14/x^4 =?

Remember that exponents get added when you multiply and subtracted when you divide terms of the form x^a, if all terms are powers of x
For example x^a*x^b = x^(a+b)
(x^a)^b = x^(ab)
x^a/x^b = x^(a-b)

Now you complete that last step.