Simplify (30^(a^3+(x-2)^5))/(5^(a^6+(x-2)^3))

Math
30a3+(x-2)55a6+(x-2)3
Simplify each term.
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Use the Binomial Theorem.
30a3+x5+5×4⋅-2+10×3(-2)2+10×2(-2)3+5x(-2)4+(-2)55a6+(x-2)3
Simplify each term.
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Multiply -2 by 5.
30a3+x5-10×4+10×3(-2)2+10×2(-2)3+5x(-2)4+(-2)55a6+(x-2)3
Raise -2 to the power of 2.
30a3+x5-10×4+10×3⋅4+10×2(-2)3+5x(-2)4+(-2)55a6+(x-2)3
Multiply 4 by 10.
30a3+x5-10×4+40×3+10×2(-2)3+5x(-2)4+(-2)55a6+(x-2)3
Raise -2 to the power of 3.
30a3+x5-10×4+40×3+10×2⋅-8+5x(-2)4+(-2)55a6+(x-2)3
Multiply -8 by 10.
30a3+x5-10×4+40×3-80×2+5x(-2)4+(-2)55a6+(x-2)3
Raise -2 to the power of 4.
30a3+x5-10×4+40×3-80×2+5x⋅16+(-2)55a6+(x-2)3
Multiply 16 by 5.
30a3+x5-10×4+40×3-80×2+80x+(-2)55a6+(x-2)3
Raise -2 to the power of 5.
30a3+x5-10×4+40×3-80×2+80x-325a6+(x-2)3
30a3+x5-10×4+40×3-80×2+80x-325a6+(x-2)3
30a3+x5-10×4+40×3-80×2+80x-325a6+(x-2)3
Simplify each term.
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Use the Binomial Theorem.
30a3+x5-10×4+40×3-80×2+80x-325a6+x3+3×2⋅-2+3x(-2)2+(-2)3
Simplify each term.
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Multiply -2 by 3.
30a3+x5-10×4+40×3-80×2+80x-325a6+x3-6×2+3x(-2)2+(-2)3
Raise -2 to the power of 2.
30a3+x5-10×4+40×3-80×2+80x-325a6+x3-6×2+3x⋅4+(-2)3
Multiply 4 by 3.
30a3+x5-10×4+40×3-80×2+80x-325a6+x3-6×2+12x+(-2)3
Raise -2 to the power of 3.
30a3+x5-10×4+40×3-80×2+80x-325a6+x3-6×2+12x-8
30a3+x5-10×4+40×3-80×2+80x-325a6+x3-6×2+12x-8
30a3+x5-10×4+40×3-80×2+80x-325a6+x3-6×2+12x-8
Simplify (30^(a^3+(x-2)^5))/(5^(a^6+(x-2)^3))

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