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Use the multiplication property of exponents to determine if each statement is true or false.
a^4 × a^3 × a = a^7

5^2 × 3^4 = 15^6

x^6 × x^0 × x^2 × x^3 = x^11

7m^2 × 2m × 4m^5 = 56m^8

Respuesta :

efawan
1)
LHS:
[tex] {a}^{4} \times {a}^{3} \times a \\ = {a}^{4 + 3 + 1} \\ = {a}^{7} [/tex]
LHS = RHS. So, the statement is true

2)
LHS:
[tex] {5}^{2} \times {3}^{4} \\ = 25 \times 81 \\ = {5}^{2} \times {9}^{2} \\ = {45}^{2} [/tex]
LHS not equal to RHS. So, the statement is false

3)
LHS:
[tex] {x}^{6} \times {x}^{0} \times {x}^{2} \times {x}^{3} \\ = {x}^{6 + 0 + 2 + 3} \\ = {x}^{11} [/tex]
LHS = RHS. So, the statement is true.

4)
LHS:
[tex]7 {m}^{2} \times 2m \times 4 {m}^{5} \\ = (7 \times 2 \times 4) {m}^{2 + 1 + 5} \\ = 56 {m}^{8} [/tex]
LHS = RHS. So, the statement is true.

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