Answer:
Step-by-step explanation:
<h3>#7</h3>
- 5⁵(16²5³)³ = 5⁵(2⁴)³(5³)³ = 5⁵2¹²5⁹ = 5¹⁴2¹²
<h3>#8</h3>
- (8⁴5³/8⁵)² = (5³/8)² = (5³)²/(2³)² = 5⁶ / 2⁶
<h3>#9</h3>
- (5⁸3⁷/5⁴)¹⁰ = (5⁴3⁷)¹⁰ = (5⁴)¹⁰(3⁷)¹⁰ = 5⁴⁰3⁷⁰
<h3>#10</h3>
<u>Multiplying powers with same base:</u>
- Same base with powers added up
<u>Multiplying powers with same exponent but different base:</u>
- Same exponent with bases multiplied
Answer:
son age: X
man_age= 5X
in 3 years: we have: (man_age+3)(X+3)=380
we can replace the man age by 5X and we get :
(5X+3)(X+3)=380
it is a quadratic equation with 2 solutions. One negative and 7
The solution is thus 7, since age can not be negative.
The son is thus 7 and the dad 5 times more 35
Step-by-step explanation:
Answer:
1) 70,000
2) 46,000
3) 2,650
4) 1,780
Step-by-step explanation:
The angle with the largest measure is opposite the longest side. The longest side is 12. It is opposite angle B. The appropriate choice is ...
B. ∠B
Answer:
The fraction is 
where the numeric value of x = 6 and 10-x =4.
Step-by-step explanation:
Given:
A number 10 we have to divide it into two parts and then when one part is divided by other with multiplication of its numerator the number obtained is 9.
Lets the number in numerator be 
Then
The number in denominator is 
According to the question:
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
solving by middle term splitting.
⇒ 
⇒ 
⇒ 
Discarding the negative values.
⇒ 
Check:
So the fraction is 
then,
⇒ 
⇒ 
⇒ 
⇒ 
Left terms= Right terms
The fraction is where the number 'x' = 6 and 10-x = 4.
