Check Your Understanding
I. Simplify the following:
[tex]1.(x⁵)(x⁶) [/tex]
[tex]2.( {a}^{16})( {a}^{8} )[/tex]
[tex]3.( {y}^{2} ) {}^{2} [/tex]
[tex]7. \frac{ {x}^{16 {y}^{6} } }{ {x}^{6} {y}^{7} }[/tex]
[tex]9. \frac{ {a}^{6} {b}^{7} {c}^{7} }{ {a}^{ - 2} {b}^{3} {c}^{0} } [/tex]
[tex]10. \frac{ {x}^{5} {y}^{4} }{ {x}^{ - 5} {y}^{4} } [/tex]
Share
Answer:
1. x^11
2. a^24
3. y^4
7. x^10 / y
9. a^8b^4c^7
10. x^10
Step-by-step explanation:
(x^5)(x^6)
=x^5*x^6
=(x*x*x*x*x)*(x*x*x*x*x*x)
=x*x*x*x*x*x*x*x*x*x*x
=x^11
(a^16)(a^8)
=a16*a8
=(a*a*a*a*a*a*a*a*a*a*a*a*a*a*a*a)*(a*a*a*a*a*a*a*)
=a*a*a*a*a*a*a*a*a*a*a*a*a*a*a*a*a*a*a*a*a*a*a*a
=a^24
(y^2)^2
=(y^2)^2
=(y^2)*(y^2)
=(y*y)*(y*y)
=y*y*y*y
=y^4
Note : that "*" is times para lang di kayo malito.
x^16y^6 / x6y7
=x^16y^6 / x^6y^7
=x^10 / y
a^6b^7c^7 / a^−2b^3c^0
= a^8b^7c^7 / b^3
=a^8b^4c^7
x^5y^4 / x^−5y^4
= x^10y^4 / y^4
=x^10
Note : that "/" is divide or over nasa baba .