7a^4*3a^2= ?

Can you show me step-by-step please? Thanks a bunch :3

Wondering what the problem is? Simplify?

a^2(7a^2+3) ?

yes, simplify the expression...

Also, can you help me with a couple more?
Simplify the expression (x^3)^5
Simplify the expression (y^4)^5
Can you help step by step please?

And these please...

simplify the expression each expression...

4^8/4^2(this is in fraction form)
b^2/b^4(this is in fraction form)
28xy^7/32xy^12 (this is in fraction form)

These are the last promblems I promise! Thanks for the help:)

Of course! Let's simplify the expression step by step.

First, we use the property of exponents that states when we multiply powers with the same base, we add the exponents. In this case, the base is 'a'.

So, we can rewrite the expression as:
7a^4 * 3a^2 = (7 * 3) * (a^4 * a^2)

Next, let's simplify the coefficient (the numbers in front of 'a'). 7 multiplied by 3 equals 21, so we have:
(7 * 3) * (a^4 * a^2) = 21 * (a^4 * a^2)

Now, let's multiply the exponents. Whenever we have a power raised to another power, we multiply the exponents together. In this case, we have 'a' raised to the power of 4, and 'a' raised to the power of 2.

So, we have:
21 * (a^4 * a^2) = 21 * a^(4 + 2)

Simplifying further:
21 * a^(4 + 2) = 21 * a^6

Finally, we have our simplified expression:
7a^4 * 3a^2 = 21a^6