Question

If (h + h) · (h. h) = 16, find the value of h. — HELP ME PLEASEEEE

Answer 1

Answer:

h = 2

Step-by-step explanation:

I'm assuming your periods are multiplication signs.

(h + h) X (h X h) = 16

When adding two variables like the first set of parentheses, it would become 2h.  When multiplying two like variables, you add the exponents.  h is the same as writing h¹.  So h¹ x h¹   gives you the answer of h².

So now your equation would look like:

2h  X  h²  = 16

As above, when you multiply two like variables you would add the exponents.  Also if any number are in front of the variable you would multiply those numbers.  So you have 2h¹ x 1h² and that would be 2h³.  If it had been

2h¹ x 2h², your answer would have been 4h³.

But so far you have 2h¹ x 1h² = 16

2h³ = 16

Dividing both sides by 2 you get

h³ = 8

To find h you have to take the cubed root of 8.  What number multiplied by itself 3 times gives you 8?    2 x 2 x 2 = 8     2 x 2 = 4 and x 2 = 8.

h = 2

If you put this into the original equation you have:

(2 + 2) x ( 2 x 2) = 16

 ( 4 ) x ( 4 ) = 16