Simplify (4 to the power of 7 over 5 to the power of 2) power 3. a. 4 to the power of 10 over 5 of the power 2 b. 4 to the power of 4 over 5 c. 4 to the power of 21 over 5 to the power of 6 d. 12 to the power of 7 over 15 to the power of 2

Given: ad¯¯¯¯¯ is an altitude. prove: ab2+ac2=cb2 right triangle a b c with right angle a. point d lies on side b c and segment a d is drawn. angle a d c is a right angle. drag and drop a reason into each box to correctly complete the two-column proof. statement reason ad¯¯¯¯¯ is an altitude, and ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bac≅∠bda ? ∠bac≅∠adc ? ∠b≅∠b ? ∠c≅∠c reflexive property of congruence △abc∼△dba ? △abc∼△dac aa similarity postulate abbd=cbab ? ab2=(cb)(bd) cross multiply and simplify. acdc=cbac polygon similarity postulate ac2=(cb)(dc) cross multiply and simplify. ab2+ac2=ab2+(cb)(dc) addition property of equality ab2+ac2=(cb)(bd)+(cb)(dc) substitution property of equality ab2+ac2=(cb)(bd+dc) ? bd+dc=cb segment addition postulate ab2+ac2=cb2 substitution property of equality

Use a standard normal table to determine the probability. give your answer as a decimal to four decimal places. −1.5< < 1.5)

Grant simplified the expression 1.5(-3.2 + 2.5) his work is shown below explain the error in grants work