Question 149210
1.{{{(2a^5)^3}}}
Cube each term
{{{2^3 * a^(5*3)}}}:You multiply when you raise one power to another power
{{{8a^15}}}
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2.{{{(-3xy^3)^4}}}
{{{-3^4*x^4*y^(3*4)}}}
{{{81x^4y^12}}}; a negative raised to an even power will be positive
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3. {{{(5a^3b^4)^2}}}
{{{5^2*a^(3*2)*b^(4*2)}}}
{{{25a^6b^8}}}
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4.{{{(-mn^8)^3}}}
{{{-m^3*n^(8*3)}}}
{{{-m^3n^24}}}
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5. {{{(-2x^2y)^3 * (5xy^3)^2}}}
{{{(-2^3*x^(2*3)*y^3) * (5^2*x^2*y^(3*2))}}}
{{{(-8x^6y^3) * (25x^2y^6)}}}; a negative raised to an odd power will be negative
{{{-8*25*x^(6+2)*y^(3+6)}}}: add exponents of like terms when you multiply
{{{-200x^8y^9}}}
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This is the method, check each step to ensure I did not make a dumb math mistake here