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a) What is 4^3 ÷ 4^3 ? (Hint: Same as 2/2 or 6/6 or x/x) _________
b) Rewrite 4^3 ÷ 4^3 using the quotient property: _________________
c) Based on parts a and b above, what must 4^0 be? 4^0 = _________

Prove that xm · x0 = xm when m=0. Show your work below using your knowledge of properties of exponents and properties of integers.

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msm555

Answer:

a) What is 4^3 ÷ 4^3 ? (Hint: Same as 2/2 or 6/6 or x/x) __1_______

b) Rewrite 4^3 ÷ 4^3 using the quotient property: ____4^{3-3}=4^{0}=1_____________

c) Based on parts a and b above, what must 4^0 be? 4^0 = ___1______

#a

[tex]\\ \sf\longmapsto \dfrac{4^3}{4^3}=1[/tex]

#b

[tex]\\ \sf\longmapsto \dfrac{4^3}{4^3}=4^{3-3}=4^0=1[/tex]

#c

[tex]\\ \sf\longmapsto 4^0=1[/tex]

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