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❌WHICH EXPRESSION MAKES THE EQUATION TRUE❌ asap


1. Which expression makes the equation true?


y^10 = (__)^2


a) y^4

b) y^5

c) y^10

d) y^12


2. Which expression makes he equation true?


100h^16 = (__)^2


a) 10h^8

b) 10h^4

c) 50h^8

d) 50h^4

Respuesta :

dexteright02
1)

[tex]y^{10} = (....)^2[/tex]

Adopting: [tex] y^5[/tex]

[tex]y^{10} = (y^5)^2 [/tex]
[tex]y^{10} = y^{5*2}[/tex]
[tex]y^{10} = y^{10} (TRUE)[/tex]

Therefore (answer):
[tex]\boxed{\boxed{b) y^5}}[/tex]


2)

[tex]100h^{16} = (....)^2[/tex]

Adopting: [tex]10h^8[/tex]

[tex]100h^{16} = (10h^8)^2 [/tex]
[tex]100h^{16} = 100h^{8*2}[/tex]
[tex]100h^{16} = 100h^{16} (TRUE)[/tex]

Therefore (answer):
[tex]\boxed{\boxed{a) 10h^8}}[/tex]

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