exam Maths Puzzle Numerical Ability

Explain why 2 to the -3 power equals to 1 over 2 to the 3 power?

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Jessica has 16 dimes and quarters. Whitney has twice as many dimes and 1/3 as many quarters as Jessica has. If they both have the same amount of money, what coins do each have? convert quadratic polynomial y(x)=x^2-6x+7 into vertex form [completeting full sqaure];find Xv,Yv, y-intercept, x-intercept and graph it.