Multiplication of Powers: Identify the greater value

Which value is greater?

$(y^4)^3$

Mark the appropriate sign:

$3^2+\sqrt{10}\cdot\sqrt{10}\text{ }_{\textcolor{red}{—}\text{ }}2^3+\sqrt{5}\cdot\sqrt{20}:5$

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$2^2\cdot2^{-3}\cdot2^4\text{ }_{—\text{ }}2^3\cdot2^{-2}\cdot2^5$

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Which value is greater?

$(x^3)^5$

Which value is greater?

$(y^4)^3$

Which expression has the greater value given that b>1 ?

$b^7\times b^4$

Which expression has the greater value given that c>1 ?

$(c)^4\times c^1$

$\frac{7^2\cdot7^{-8}}{7^3\cdot(-7)^4}_{——}\frac{7^2\cdot7^{-9}}{7^3\cdot(-7)^4}$

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Which expression has a greater value given that x>1 ?

$x^2\times x^9$

Which value is greater?

$(a^2)^4$

Which expression has the greater value given that a>1 and b>1 ?

$a^7\times b^6$