Question

(x^4)^3=(x^3)^4 true or false
13^4 x 13^7= (13^4)^7 true or false
y^5xy^0/y^3=(y^2)^1 true or false
q^0xq^5/q^2=(q^3)^2/q^3

Answer 1

Step-by-step explanation:

(x^4)^3=(x^3)^4 , true

=> x^(4×3) = x^(3×4) = x^12

13^4 x 13^7= (13^4)^7, false

13^(4+7) = 13^11

(13^4)^7 = 13^(4×7) = 13^28

y^5 x y^0/y^3=(y^2)^1 , true

y^5 x y^0/y^3 = y^(5+0-3) = y^2

(y^2)^1 = y^(2×1) = y^2

q^0 x q^5/q^2=(q^3)^2/q^3, true

q^0 x q^5/q^2= q^(0+5-2)= q^3

(q^3)^2/q^3 = q^(3×2-3) = q^3

Answer 2

Answer:

$1) { ({x}^{4})}^{3} = { ({x}^{3} )}^{4} \\ power \: multiply \\ {x}^{12} = {x}^{12} = > true \\ 2) {13}^{4} \times {13}^{7} = \\ power \: add \\ {13}^{11} not \: = { {13}^{4} }^{7} \\ = > false \\ 3) \frac{ {y}^{5} {y}^{0} }{ {y}^{3} } = { {y}^{2} }^{1} \\ {y}^{2} = {y}^{2} \\ = > true \\ 4) \frac{ {q}^{0}{q}^{5} }{ {q}^{2} } = \frac{ { {q}^{3} }^{2} }{ {q}^{3} } \\ {q}^{3} = {q}^{3} \\ = > true \\ thank \: you$