Multiplication of Powers: Identify the greater value

Which value is greater?

$(y^4)^3$

Which value is greater?

$(a^2)^4$

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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Which value is greater?

$(y^4)^3$

Which value is greater?

$(x^3)^5$

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

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Insert the compatible sign:

>,<,=

$2^3\times2^4\times2^8\Box2^2\times2^3\times2^{10}$

=

Insert the compatible sign:

>,<,=

$3^{-5}\times3^{17}\times3^{-7}\Box3^2\times3^1\times3$

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

$x^2\times x^9$

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

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

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

$b^7\times b^4$

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

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

$a^7\times b^6$