What are the solutions to the equation (a^2)^3=a^5 ?

The solutions to the equation (a^2)^3=a^5 are a=0,a=1

Find the zeros of (a^2)^3=a^5

The zeros of (a^2)^3=a^5 are a=0,a=1

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(a^{2})^{3} = a^{5}

a = 0, a = 1

Solution steps

(a^{2})^{3} = a^{5}

Expand

(a^{2})^{3} : a^{6}

a^{6} = a^{5}

Move

a^{5}

to the left side

a^{6} - a^{5} = 0

Factor

a^{6} - a^{5} : a^{5} (a - 1)

a^{5} (a - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

a = 0 or a - 1 = 0

Solve

a - 1 = 0 : a = 1

The solutions are

a = 0, a = 1

(1 + 0.02)^{12} = (1 + x)^{4}

m (m - 1) (m - 2) (m - 3) = 840

2 x^{3} + 4 x = 6 x^{2}

5 y^{3} - 44 y^{2} - 9 y = 0

x^{3} = - 3 x^{2} + 3 x - 1

What are the solutions to the equation (a^2)^3=a^5 ?
The solutions to the equation (a^2)^3=a^5 are a=0,a=1
Find the zeros of (a^2)^3=a^5
The zeros of (a^2)^3=a^5 are a=0,a=1