Question

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y⁹=y
x•x¹⁶=
7¹³•7⁶/7¹⁷=
(2/3ab)³=
(c⁸)⁶:c⁴⁵=
4a⁴•(-2a³b²)²

Answer 1

$y^9=y\Leftrightarrow y^8=1\Rightarrow y=\pm 1\wedge y=0$

$x\cdot x^{16}=x^{1+16}=x^{17}$

$\frac{7^{13}\cdot 7^6}{7^{13}}=7^{13-13}\cdot 7^6=7^6$

$\left ( \frac{2}{3}ab \right )^3=\frac{8}{27}a^3b^3$

$\frac{\left ( c^8 \right )^6}{c^{45}}=\frac{c^{48}}{c^{45}}=c^{48-45}=c^{3}$

$4a^4\cdot \left ( -2a^3b^2 \right )^2=4a^4\cdot 4a^6b^4=16a^{10}b^4$